Hi everyone, Joe for Jaspy's CaseBreaks.com. We did it. We knocked out a full case break of 2023 Panini National Treasurer's Basketball. Pick your team at number three. There's the case right there. Very big thanks to everybody who participated. One way or the other, thanks to the people who bought their team straight up. There they are. Here on a Monday. Happy Monday, everybody. There's Mark with Last Spot Mojo with Miami. Here's all the thanks to everybody who bought their team straight up. Now we did a few different random number block randomizers here. Here's the first one. This involved that group of teams right there. So there are the results. We did all of these in separate videos if you're looking for the randomizers there. I guess I'll leave this one maybe over here. And then here's a different group. Warriors, Mavs, Lakers, Spurs. Pick that right up there. And Josh, picking up all the spots in the random number block randomizer. So you get Oklahoma City and Orlando. That's pretty easy. Alright, here is a fresh case. We have another case in the store right now. NT Basketball, it's almost halfway there. With a little luck we might be able to get another one done tonight. And I think that is our last case of NT Basketball. I think that's it. Until we get more. But then I can't assure you that they'll be at the same price. You know, with products like this after the new release date the prices tend to tick upwards. Alright, so thanks everybody for making this happen. Case number one. I feel like I can never get these angles correct right here. Alright, let's take some more right here. Another way. Let's look for the big hits. Good luck everybody. And I think if this follows tradition there should be a plate per box. Yeah, there is. So like the base plate will be up there and then I think any other plates at our autograph would be down there. Alright, empty box. We'll use this blank card to slow play the hits. No, I've not done any NT Basketball. I think it dropped on a Friday David and then obviously Fridays and Saturdays are my weekends. Did it drop on a Friday? No, it dropped on a Wednesday. No, it dropped on a Wednesday. Jason broke one early Wednesday. I didn't do anything on Wednesday. I was on Fanatics Live on Thursday and we didn't do an NT over there and then there was the weekend and then I didn't do any NT on Fanatics Live last night. So this is my first case of NT so I'm excited about it. First case mojo. Good luck everybody. Thanks for getting in. Let's get it going. We're going to start with a one out of three Marcus Smart, Boss and Celtics starting off with a train whistle out of fives and under. That's for Kenneth. There you go, Ken aboard the Big Hit Express. It's a good way to start the break. Another train whistle right here for the Knicks, Miles McBride. I always feel like these plates would be cool if you get these, you know, if you ever run into Miles McBride at a signing or something like that, have him sign the plate. I think that'd be pretty cool. I think that they probably don't see a lot. Knicks. David. David B. All aboard the Big Hit Express. Now we should see some relics. Yep, there's Paul George as a pacer. That's 78 out of 99. Pacer's going to go to Keith. Game war material. Always nice to see that. It's not always the case for some players and we've got biography materials. Laurie Markinen as a bull. So this is our first random number block hit. So for those of you not familiar with it, I'll show you in just a second. Also Game Mourn, 83 out of 99. So we go by that digit right there, the 3. Not that one, but that one. Not that one, that one 3. So Chicago 3, Chicago's part of that Memphis number block group, which is over here. So Chicago 3, Michael P. Then we've got Lonnie Walker IV, Jersey and Autograph, 58 out of 99. That's for the Lakers. Lakers are part of a different number block group. That's the Golden State group. So we go by number 8. Lakers 8 will be for Ron S. Got another relic here, 94 out of 99, Sun's edition of Chris Paul. That's going to be part of the Memphis Milwaukee group. So Phoenix IV, and that is for David B. There you go, David. Next is Nate Archibald, peerless, Autograph, 4 out of 99, Celtics, Ken, and we've got Paul George. Again, retro materials, 21 out of 25, but different picture. This is Timeless Treasures, and this is Retro Materials, both going to Keith and the Pacers. We've got three colors on this one as well. All right, couple more here. Ooh, a thick one here. That's Carmelo Anthony. Game Gear, Autograph, 24 out of 25, Nix, David B. There you go, David. I mean, I feel like I don't see Carmelo Autographs too often. I think it's almost a perfect fit in a 180 right here. It's a cool relic there as well. Game warm, game used material. I like it. That is nice. All right, and the last one here is also nice, a Jabari Smith Junior RPA, 17 out of 49 Colossal Material Autographs. And that's for Jim Way. Got the rockets straight up. Nice, really solid player there. Rockets took my Lakers down to the wire last night. Last minute foul, a couple free throws gave the Lakers the win in regulation. LeBron went to the line, just needed one, missed the first one. Got everybody in the building a little nervous, I guess, but hit the second one. And then I think it was less than a second to play or something like that. And that was that. All right, there is a redemption hiding down there. Let's see who that is in a mo. Let's get the rest of these going here. Good luck. We're going to start off with the Huntamuri. That is 13 out of 99 for Atlanta. That's going to go to Raymond. Yeah, rockets are playing well. Overpaid for Van Blee, but they look good. It's a good balance. I feel like sometimes when we do the rockets, they shouldn't, I feel like. But I feel like they get a little, I mean, as the team is constructed, it's had some difficult things, luring free agents there. But if they could get Van Blee to sign there, maybe he had to overpay a little bit. But his presence, connecting a young team together, and they've got, who's the manager? I'm blanking on his name, but I think he's a good coach, too. Here's another hawk, a Kongu. It's for Raymond in Atlanta. That's a one-of-one. The plate for box. Tradition continues for NT. Udoku, right. Raymond, all aboard the Big Hit Express. Now Deandre Aiden, Suns edition, 73 out of 99. Suns three. Suns number three will be for Michael P. More Suns, Michael Bridges, 39 out of 99. So Phoenix nine will be for Michael L. We got Clutchfactor, Jersey, and Otto, and the Seer Little. Trailblazers, that is. Oh, there's the number, 19 out of 49. That's for Chung with Portland. I'll show you the number just right quick. There it is, hiding right there. Got a Colossal Relic, Patrick Baldwin, 69 and 99. Rookie Relic going to Golden State. Golden State's a number block team, so that'll go to Golden State six. Which is on my left over here. That's Ron West or Ron W with that one. We've got a Jake Laravia, RPA, 73 out of 75 for Memphis. Nice Grizzlies are a number block team, headlining the Memphis group. And it's Michael P with the number three. Nice patch there as well, nice colors. Got another Relic, Keegan Murray, 90 out of 99. Sacramento Kings, it'll be for Sean Maddock with the Kings. Here comes the redemption. Remember, if it's a number block team, zero, as always gets any and all redemptions, including one of one redemption, which is a rare occurrence. It's gonna be Peerless Signatures Duhun to Murray. That's Spurs Edition? Or is it Hawks Edition? Peerless Signatures card number nine, Atlanta Hawks Edition, so that's gonna go to Raymond. And plenty of time to redeem it. There we go. And this last one I think was nice. It is, it's Larry Bird, Penmanship. Excuse me, Penmanship autograph. Got a little choked up there, one out of 49. Definitely, even as a Lakers fan, got to respect Larry Bird. May not like him, but I definitely respect him. Legend, Kenneth with the Celtics. All right, first couple boxes in the books. Two more to go. And we've got another redemption hiding down there. All right, box three, good luck. You got Ayodhya Sunmu, one out of 99. Chicago one will be for Robert. The plate for box is gonna be for Portland. That is Adrazin Petrovich. And that's Chung with Portland. And Chung, out of five and under, get the train whistle. All aboard the Big Hit Express. All right, now your hits. We got Alex Caruso, 15 out of 99. Some talk in Los Angeles about maybe working a deal to get Alex Caruso back in purple and gold. Could use his defense. So Chicago five, that is gonna be David B. You can break these today.  Yeah, just kidding. Even on this side? Yeah, so if any of them saw, you can break it. Wow, breaking news, ladies and gentlemen. If you guys wanna get into some definitive breaks, we just got it in. We can rip them tonight. We'll have to wait till tomorrow. Wow, breaking news. Stephen Adams, 82 out of 99. That'll be for Memphis. Memphis number two will be for David B. So yeah, go to jaspyscasebreaks.com, make that happen. Dyson Daniels, rookie relic. Eight out of 99 for the Pell. So that's gonna go to the Memphis number block group. Number eight, David B. Patrick Baldwin, Jr. Jersey and autograph. 49 out of 49. Warriors nine will be for Ron, Ron W. All right, and we've got Anthony Edwards, 32 out of 99, NBA materials. Game worn. Timberwolves, that's gonna go to Ching with that one. We've got a Dyson Daniels, 32 out of 49. Pelicans two will be David, David B. Another redemption. The other redemption is gonna be, wow. Acad Cunningham, Jaden Ivy, dual autograph, gold. What's gold number two? 10 maybe? Gold is to 10. There you go, David. David was looking for some big pistons. And there they are. Who do you think's to blame on this? Who's not signing their card? Maybe Kade. I feel like we do see Jaden Ivy autos, right? That are live. Anyway, David, very nice. Out of 10, eight, right? Come on, Kade. Gotta sign your cards, buddy. I know, David, as always, thank you for getting in. Got that team straight up, ladies and gentlemen. Sometimes you just gotta do that. Scared money don't make money. Final hit of the box is a big one. Jason Terry, thick. Seven out of 21, nice three color patch. Nice autograph, Dallas is a number block team. So that'll go to Dallas seven, which will be for Robert. Or no, sorry, check that, sorry, Robert. We're for Ron. Ron Wester, last spot mojo for that number block group. Fourth and final box coming up, ladies and gentlemen. Thanks everybody for getting in. We have one more case of NT in the store right now. And I believe for now that is our last case of National Treasures basketball. It's basically halfway there. I think there were 17 teams left when we started the break. So if you wanna run it back, we can. If we get it pretty close to single digits, and if it stalls out a little bit, I can definitely help it across the finish line by creating those random number block, serial number style breaks. All right, this side of the plate is on top. All right, good luck. And the plate is select basketball, looks like bulls. Yes, it's Patrick Williams. Chicago number one is for Robert. There you go, Robert. And all aboard the Big Hit Express. Then we got Westbrook, 16 out of 75, Lakers edition. Going to Lakers six, that will be for Ron Wester. Just didn't fit. You know, I think I'm a fan of Westbrook, good LA guy, but just did not fit with that Lakers squad. There's George and the Aang, 42 out of 99s. Philadelphia two, no, Wen Shun has the sixer straight up. We got Ruihachi Mora, 87 out of 99. Now that's a good fit for the Lakers. This is still Wizards edition, and Washington seven will be for Robert. Last spot Mojo, it's a thick card here. We have Raymond Felton, eight out of 25, nice patch. Lasting legacies, autograph, another old school guy for David B. and the Knicks. Got the Knicks straight up. Wow, a one of one Nike Squoosh. That's Jaden Hardy for the Dallas Mavericks, rookie and Nike Squoosh. That's going to be for Dallas. Dallas is a number block group, Dallas one, Ron W. That is nice. Ron, congrats to you and all aboard the big hit express. Real nice. All right, then we got Walt Frazier, 45 out of 49. David, locking up some of these old school guys here. We got A.D. Anthony Davis, 65 out of 99. Jersey Treasures, Lakers five, will be for Michael L. There he is. Maybe Ron's lagging behind a little bit in the stream, but hey, congrats. Thank you for getting in. All right, couple more left. We've got RJ Barrett, 63 out of 75. Penmanship on card auto for David B.  It's a sharp card. Two color patch on card autograph, 18 out of 75. That's Chung with the trailblazers, congrats. And there you have it. What a break. Real solid stuff. We got more NT in the store, jaskyscasebreaks.com. Let's run it back. I'm Joe, I'll see you next time for the next break. Bye-bye.


Hey guys, what's going on? It's the Andy Elliott one percenter podcast. It's going to be episode two. This is going to be killer guys. This is going to be about marketing, branding and dominating your backyard. And by the way, listen, I want to say this, I want to introduce everybody's with me real quick just so you know. This will be an episode that could change your future forever in the car business. Number one, let me introduce my amazing wife right here, 15 years automotive industry business savage. Number one, she not only dominated selling crushed it in finance, ran numbers that were never heard of. Literally they try to change her pay plan 10,000 times because they were paying her so much money. It's one of those type deals. It is one of those type deals very much is and and and mama, why don't you say hi so everybody knows who you are around the boys all that long. This is the lioness, they changed my name to mama, they used to call me mama bear, that didn't work too well. I smashed her butt. Yeah. Turn into lioness. And I want to say this to you. I'm going to have her tell a little bit more about ourselves so you know who she is. Let me introduce who I have here. This is Ian and Evan Macklin. Okay. They are the newest coaches here for the Elliott group. Not only are they savages, but they're the number one, number two Nissan sales pros in the country. Understand this. They put more Nissan's on the street than anyone else in the world. And they're here with us and they work with us in our industry. And we're going to talk about today how to dominate your backyard. Number one, how they did it, okay, which is amazing and you're going to get a chance to get that real quick, baby, obviously, we've been married for 15 years real quick and then we'll get on to them. Let's get on to the branding, right? How long? How long? What year did you get in the business, oh, six, 2004, 2004, I'm finding out new information every day. I didn't know this. It's like an ADV. He was trying you on. He was just trying you on. My bad. And tell us a little bit about right now what we're doing, a little bit about, you know, what you see happening, obviously, we've got these guys here with us, they're going to share some magic or a part of our team. They can help coach you, teach you. We love closing negotiations, overcoming objections, but owning your own backyard, 2021 is about internet. It's about speed. Yeah. Okay. And you can get it now better than ever, but let's move to you for a minute, honey. Tell us a little bit about what you think what's going on.  She's a better closer than me. Straight up. Close deal, bud. She did close me. Yeah. And listen, hey, most of that, most of the closest that, that I use, she will help dial me in and make them more lethal, better and deadly. And anyways, it's just, it's just unreal. And the F and I training that we teach right now is just world changing. Right. Guys go and literally just their per copy, you know, the objections that they get all the way around. We've changed the game completely on that. And we don't talk about that much, but she's the one who has been handling all that. And she writes all my material. I always find it funny. When you get, when we're doing the virtual or the master closer seminar and she's like, Andy, do this close and you're like, looking at her and then she's like, boom.   And listen, baby, what would you say if there's a saleswoman that's watching right now? Okay. Or maybe even a manager or GM that doesn't have a large sales crew for women. Tell a little bit of what is your opinion about what's happening with women in the movement? And women come in and, you know, they, you know, people's guards go down, but not only that, a lot of women, I mean, they're, they've been stuck at home and a lot of them are in the workforce, but they don't, they come out and people actually listen to them.  So sure it is. That's for any business, having women in there is extremely important right now. And most everybody watching this is just for some reason. If you're, if you're a woman, you need to reach out to my wife on Facebook. Okay. Yeah. Jacqueline Elliott, Jacqueline Elliott, J-A-C-Q-U-E-L-I-N-E. That's how you spell the Jacqueline. There's so many. But Elliott, look out for her. Join her on Facebook. Any questions you need, reach out to her. Yeah. I got it. I got it. Let's get on to the, let's get on to the branding and marketing for a minute. Obviously my wife, she's the, the mother, F CEO of the company. Always teaching us everything that we need, always in charge, keeps us in line, draws the boundaries, tells us what we can and cannot cross. You have to with the kind of energy that we have, you know, definitely have to. It's huge. It's electric in the elite group all day long. All day long. Yeah. So, so let me introduce Ian and Evan Macklin. Number one, yes, they are twins. A lot of you guys are probably like, okay, are these guys twins? Absolutely. Little double trouble. Hey, let me hand it over to you guys. Yeah. I don't know who's the dominant better looking. I mean, I was the number. I was the number one. He was the number two salesman in the country. So those go back and forth. He said was. They go back and forth. I'm going to give Evan the credit. That means I'm number one. I'm going to give Evan the credit because I got to let the little brother win to stay close to me, you know, at most times. So if anything, I motivated him to be number one. So congratulations. You're a good brother. You're a good brother. That's what I did. Quick question. So when you say little brother, how many minutes are we talking here? Seven minutes, you know, but I treat it like seven years. He's had a good example of his whole life. He reminds me every second of the day. He's got a, he's had a good example his whole life. So it's been excellent. Hey, that's amazing. Okay. Cool. So let's tell us a little bit. Number one, how long you've been selling? Obviously, you know, the typical standard sales person, take phone pops, takes ups on the lot.  Right. They may be dabbling something, but they don't know how to attack. Why don't you just start us from the beginning, let's move through it and then tell us how you guys dominated, not, not competed with other salesmen, but physically dominated. Once you give them some ideas and kind of let's walk us through it. Let's recreate these wonderful salespeople that we have across the country that we're going to change their lives for ever. Okay. And then obviously at the end, you can tell them how they can reach out to you and if they want help doing it, how they can reach out. Absolutely. Cool. I think our story starts just like anybody else's in the car business. We showed up to the business. We were excited to come meet people and have fun selling cars. And just like anybody else, we just thought that, you know, and it was a little old school where you started 10 years ago. So we started 10 years ago selling cars. Yeah. It's kind of like your lawn chair story. It was like, stand out front, figure it out. Stand out front, figure it out. There wasn't, there wasn't the Elliott group training where you can get all of these things up front to you where you can get the marketing branding.  So yeah, we started out with, you had to be on the lot and you had to drive your business and you had to just figure it out. Right. So we, so we, that's what we did. We showed up every day. We wanted to be number one and we showed up and we worked more hours than those people and we fought to get to that spot. When social media started to get big, we quickly found that that was the easiest way to get out there, get your name out there, start to develop a brand for yourself and start to develop a name and have fun on social media. As that started happening, tell them what's, tell them what's happening. As that started to happen, we just started to get bigger and bigger. That's where, you know, the, the, the customers were chasing us versus us just chasing the customers and chasing the ups. You know, it's a powerful thing when you have people walking through the door and they're asking for you. You're not asking for them. You're like, oh, cool. You saw my video. So you already know a little bit about me. It becomes fun. You know what I mean? Soon as we could see that social media was becoming this new monster, we were just feeding that beast. You know what I mean? And it was just growing. And then some salespeople either adapted or like you say, they either evolve or retire, right? So we just kept evolving with social media and we thought it was going to go away. You know, this is 10 years ago. We thought, hey, maybe this thing is going to go away. But we started getting quick wins really quick. And when those quick wins started coming, it was like, dude, this is where it's at. Moment. And they're the quickest wins ever. You know, you get with your customers. The customers love you.  Some people just don't take advantage of why people are excited and help them out. Lights are on. The lights are on. The energy's up. It's like being in the lion's den. The lights are on.  So you have to make those customers carry that message with them. And the best way to do it is through social media and your experience and your brand. Now, you have to have a healthy brand. You have to have something that's created that can be shared.  It's not the product. It's not the course. Those are the absolute most phenomenal, but your brand is results. You're going to get results for the company, for the salesperson every time. I mean, that's, that's our brand. Exactly. Let me ask you a question. Let's say we got someone out there right now. Okay. And they're listening and they're, you know, and obviously people that are doing extraordinary things, extraordinary levels. People try to put titles on them. Okay. You know, like, Hey, man, these guys got it. They're extroverts. You know what I'm saying? They're just supernatural.  You guys are raised without a dad, right? Right. Single mom, single mom, single mom, one in the military, our whole lives. You know, mom left you guys at home a lot. Not saying she was an amazing mother.  You know what I mean?   No, no mentor. You know what I'm saying? You guys chased lions, right? They hunt, right? Sheep, they want what they want life to be, you know, handed to them. Right. Given to them. Sheep or that hunt is from the lion. You guys are both lions. And I want to say this, if somebody's out there right now and they're not a lion and they want to become one and they don't have any branding experience, they don't understand how to start something. They don't understand what to do in their dealership. They're down E. I mean, they're literally eight car a month hand. Yeah, just reach out to us. Could that could that guy be turned into a thirty five forty yeah, buddy, can everybody can tell you're not made. You're not just you're not just born with this. So to me created twenty twenty one's about speed. Right. Would you guys agree? Hundred percent and skill acquisition. You have to require that skill. And if you don't know how to do it, we can show you how. If somebody's out there right now and I'm just going to say don't know. That's right. You don't know what you don't know. If somebody's out there right now and women. Yeah. And I'm just telling you, we social media, we've helped create some of the most lethal people on social media and some of the most lethal companies. We've helped brand several different dealerships into, you know, from fifty sixty cars to two hundred and fifty three hundred car stores. And this and this isn't years of doing it. This I'm talking like this is fast results. Yes. And one of the reasons I just want to lay this out there, one of the reasons why, you know, obviously, look, guys, energy and we can't scream into these mics. But the energy is through the roof with these guys. That was one of mama's rules drive is through the roof with these guys. The skill set. If you guys look, if you don't know who Ian and Evan Macklin are, do me a favor, go to my YouTube channel right now. OK, and type in Andy Elliott, overcoming objections. OK, type in two type in two skilled salesman. OK, and you'll watch before these guys work for me. I used to run them down in the lion's den and I would beat them with tough objections. Now, listen, that's skill. You guys raised your skill by coming to masterclothes or seminars. Yeah, you guys changed your life forever with skill. But let's talk about the branding. Let's talk about this. Like how you guys dominated, you crushed it, right? How you guys had this massive results with your traffic and everything. You guys weren't gifted with this. This is something you guys created on your own and you have an entire curriculum how to teach other people to do this, correct? Yeah, so we've taken the last 10 years and we've we've really analyzed what we did. I mean, the first couple of years we were just kind of doing it to have fun and shooting from the hip. Shooting from the hip. It was just all in fact, Ian told me, you got to get on Facebook. And then we like, I was like, I'll show you Snapchat. And we started figuring out what was working. And then over the last couple of years and then with Andy, we've kind of dialed it in. We know what when you have what we can show you, you know, of what we failed, failed, failed, failed, one, failed, one, failed. You combine that to feedback. You could. Yeah. Well, exactly. And then you combine that with Facebook remarketing. You find that with that wicked, awesome course of Craigslist that you provide an elite group has 21st century salesperson. Dude, it's like I don't even know how I would do anything for that seven or eight years ago. You know what I mean? Yeah. And here's anything for so. So the beautiful thing is one of the things that I'm that I'm deadly at is teaching like how to crush it on Facebook or marketing on Facebook marketplace, how to crush it on Craigslist. You guys did it from a different end. We didn't do it with any. Yeah, we had we didn't know about that. We didn't know. So I want everyone knew, but we just didn't do it. We didn't know about it till we got down here. That's important. I think everybody needs to know this. This is important. And that's kind of where I wanted to get to. Is that you guys became the number one and number two salespeople in the country without Facebook, without Craigslist, without Facebook remarketing, right?  Oh, yeah. OK. And they're coming for you. And that's the reason why our training program builds so strong is so that we can have people that have different skills. One person is a hand combat fighter. The next person over here is a sniper, right? And you have. And if you can put all that together and weaponize yourself, just don't show up on our boys. Yeah, that's it. And let's go back. Hey, let's go back.  They see exactly who you are, how you dominate it. Tell us some of the fast wins you made with some of the other men. I remember you guys telling me about Caden. You guys took him from from where? And then he did what, thirty five cars last month or something? Yeah, I mean, yeah. So we've got we've got some different guys like I'd say Caden is he's just crushing it, man. So he what he does every day is he gets on social media, just like we've showed him how to do. And we've kind of laid out the platform from him. I mean, he started selling cars with us and he's doubling his numbers now. And look, there's a there's a way to make people feel, look and act on your posts. And when you're combining that with some of these just lethal ad copy, so to speak, those things are going to captivate people. They're going to want to buy a car and it's not a matter of if it's going to happen. It's just when it's going to happen. And those wins happen very fast on social media because somebody is going to resonate different with Caden, then they're going to resonate. Shout out to kicking it with Caden. Follow, kick it with Caden. Shout out to kicking it with Caden. The kid is just doing great things. He's doing phenomenal. And what he's realizing is is he doesn't have to stand on point every day. He doesn't have to be a showroom ballerina showroom ballerina, which is great. You know, you combine some of this stuff. Let's take every deal. Yeah, yeah, yeah, you combine that with service and everything. That's great.  There are some really easy ways to become the person of interest in your backyard. And instead of competing, just completely dominate everybody, you know, and it's not something that's just going to happen overnight, but it's going to happen very quick. And you know what I'm saying? And I think that's one of the reasons why some car salesmen don't stick to social media as much.  Hey, how about this, too? So some people watching, I'm sure, you know, might be our car sales vet that's 40 years old, like Gerald. You remember Gerald, right? Absolutely. So he was selling 15, 20 cars. He said he could never get above 20 cars. He reached out to us. We got the branding form. Dude, the dude's 80. OK. 80 years old. 80 years old. Social media would never work for him. And you know, he was thinking, man, I'm going to have to retire because of this social media. It can't happen. It's too hard. We said, Gerald, here's the deal. Here's the secret sauce. Here's what you have to do. It's very simple. Gerald's now posting. People are walking in because who's not going to buy a car for the retirement community he owns. He owns the veteran community. We thank him for his service. He's an amazing dude, but he's just dominating that market because there's a market for everybody on social media. It doesn't matter if you're an introvert. I was going to say something about the introverts that introverts are the best because listen, listen, not everybody's an extrovert. Nobody. A lot of people that are introverts don't want to come buy a car for me, and that's OK. I may not be shooting for them. I want to help everybody. But if you're an introvert, you're going to have somebody. When you pick up that camera and we teach you a little bit about how to use it like a tool, these people are going to come to you because they're going to know first they're going to respect you. They're going to say, hey, this guy's getting out of sight of its comfort zone.  Matter of fact, they would love for you to do that. And then when you do that, that introvert customer is going to know, dude, I'm going to see that guy. You know, Dan Dan, the Nissan man, shout out to him. He's got a different personality than me. When he gets on there, he crushes social media. Go follow Dan Dan, the Nissan man, shout out to him. And listen, by the way, listen, a lot of people are probably thinking, hey, man, I'm not that good looking. You know, like I can't be that that news reporter look. Listen, when you talk about Dan Dan, the Nissan man. OK, I'm just going to say that Dan begin. Yeah, Dan like a little bit of devil's lettuce. You know what I'm saying? Yes, but listen, when Dan got on social media, right, what? Listen, and you guys taught him X plus Y. I'm sorry, X plus Y equals Z. This is how to do it. He's living out loud and people and he wasn't comfortable with it. Yeah, he didn't he didn't want it. He hated it. And now he's dominating. He's killing it. We've got many people around the country that are the most unusual, maybe to the world type of person, which we love that exactly that we love. And when they when they expose their unique unicorn, you don't have to be a secretive version of us. Just be the first rate of version of yourself.  I don't care who you are. Everybody has a unicorn. And you can be so that's an extrovert. You can be a confident person and you can be a confident person that just isn't going to be living out loud. Maybe like we are. So what you got to do is you got to diagnose what people what you love about yourself and put it out there. That's living out loud, man. Yeah, and the deal is and you explain how to do that. And that's listen. So if anybody's watching as you're hearing this, watching this YouTube, wherever, yeah, shoot them a text. What is the and I want you guys to read it out twice here. OK,<PHONE_NUMBER>. OK, so I want you to listen to this real quick. Write this down. Shoot these guys a text message. OK, I got a new number directly for the Elliott group. It's my cell phone<PHONE_NUMBER>017. Let me say it again. Repeat<PHONE_NUMBER>. OK, say hi. Say what your name is. Yeah, text us. Yeah, yeah, say something like, hey, man, my name is Bob. I want to be I want to be great at marketing. And that's it. And you guys will reach out from there. And listen, here, I want to say this to you that you could be the person of interest in your own backyard. And by the way, there's thousands and thousands and thousands of people that have already changed their lives. Kaila's got your keys. Dude, Kaila's got your keys. That's just one. Kaila's got your keys. Yeah, Dan, the man and he saw man.  We got people in Canada. We got a guy from South Africa called us to you guys have changed thousands of people crazy. Dude, the dealer, this is the craziest. So in the last month, the dealer that you guys took privately under the table that was selling 80 cars a month. And now they're averaging 200. Now listen, they hit 200 in December, but they're on track to hit another 200. They were doing 80. That dealer will triple, if not quadruple, his bottom line net income. He was a dealer who reached out to you.  Yeah, now I'm trying not to get on the mic.  There's nothing more powerful than an employee that's happy that you're exposing their star power because they're going to walk around and they're going to be excited to be an employee. Can you talk about that? Can you talk about the culture?  But if you're a dealer manager, anybody of any authority in a company, tell them. Oh, I'll get fired up in. Okay, let's go. I'll fire it up, do you want me to get it? Let's go, let's do it. All right, so, dude, first culture is a commodity. I mean, culture is the biggest thing in a dealership and we're in a millennial culture where no longer do people want to work for a dealer that's, you know, that you'd have a bad culture. They can go sit on the couch and make 50 grand a year. They can go sit on the couch and make 70 grand a year and write code and all this crap, right? So people want to work somewhere where they believe in. People want to work somewhere where they can be proud of it on Facebook and say, hey, mom and dad, look at me, I'm doing very well. Well, how do you do that? You got to market these people. You got to get them to buy into a culture. You got to get them to brand themselves, but you don't have the time. You're the dealer, you know, and we can come up with a million excuses or you can hit us up and we can come up with that. But the dealer that we have, the multiple dealers that are working with us in this branding, Evan, talk about them. It's just, you know, I'll get off fire. Can I say, can I talk about the one thing which, I mean, this is, by the way, this will just right away will make you understand why you want to listen a little bit more. The average cost per acquisition for a customer in a car dealership is $350 to 500. Just depending on the size of store. Average cost per sold customer to dealership. You guys have been able to get that down to $130. Yeah, that's the most insane thing I've ever seen in my life, not only because a dealer can keep more for their bottom line, but also they're increasing their exposure, right? And by the way, the guys that are out there right now that have the organic, right? They're the ones that don't have to start over on E at the beginning of every single month with the new advertising budget to go chase down the next sell. Right, exactly. The dealers that are committed to it, the managers that are committed to it, the managers that hit us up, the dealers that hit us up and say, hey, where do we start? How do we get, I totally understand, because you've never been there. You don't, you've never been there, so maybe you don't know how to get you there. So we can give you the roadmap to success. That's not a problem. The benefit of it is, is man, you watch an employee walk around that loves where they work, that is the star of their show. And I'm telling you, we know how to create them. Yeah, we'll make them happy. We've got dealers with a dozen guys that walk around and before the month starts over, they're already at 40 or 50 cars just based off of the amount of effort they already put in a couple of days ago or the entire month or the last 90 days on social media, they're gonna have something set up. Dude, it's amazing. You guys remember when we started in the business, the managers used to come in, they used to say, everybody knows eight people that are gonna buy a car. They're on the phone. Yeah, there's a, and then they put like the, what did they put? They put the, like the, the roll of decks on the wall and they're like, Wendy's is hiring, if you don't know somebody that's gonna sell, and you can go get another job. Well dude, what they were basically trying to say is we all know somebody that's in the market for a car and we'd sit down there and we'd call them. We'd sit down there and we'd call them. We'd sit down there and we'd call them. Dude, now your sales people just have to live out loud. You gotta make them have a little bit of fun. Like, it's not that hard, you know what I'm saying? And when you say live out loud, there's boundaries on that and you teach it. Yeah, we teach it because you can follow a certain set of guidelines. Mama bear. Mama bear is mama. Mama bear is mama bear. You wanna stick to a high character. You wanna have fun with it. You wanna have integrity. You wanna have, you wanna do it the right way. You wanna do it the right way. But you know, here's the deal. When you, when, and everybody does know somebody who wants to buy a car. But if you're not putting it out there and you don't know that they're out there, then you're never gonna find them. It's like, if I never ask you a question, then I'm never gonna know the answer. So if we're- I never ask you to buy the car. You're never gonna buy the car. Then you're never gonna buy the car.  People are coming through the doors. Yeah, you can go from 80 cars to 160 with no ad spin. I mean, dude, it's the free. Okay, also, let me just mention this. You're gonna close more gross on the people that you know and everybody knows this. If you're in a car business, then if the customer's walking through the door on the internet, no more fighting for the bottom. If my aunt's friend is coming through on a car, she's likely not have done all of the research of every inch of everything. And I can explain it to her. She's gonna let you be your guide. Exactly. We're gonna guide her through the right process. Those customers are the referrals. They're gonna be happier. They're gonna stay with you longer. They're gonna refer more people. They're gonna let you tag them. When you tag one customer, I don't care if they have 200 friends on Facebook, they're gonna, hundreds of people are gonna see them being tagged. They're gonna keep seeing you. You're gonna be the person of interest. You're gonna dominate. Now, I got something. I wanna say this because listen, I see we have 115,000 salespeople we're training at this time. And it looks like we're picking up another three to 5,000 a week. It's crazy. And we're going nuts. And that's why- I got a new phone for it. And by the way, everybody- It's separate. It's bringing it separate. Hey, can I say one thing? How important is everybody to us? Everybody is super important. Can you just say this? Anybody that reaches out to you, would it be reaching out to anybody else they've ever reached out to? Absolutely not.  And it's just like everybody on your team. It's the same story. We left everything we had. We had a set up business for 10 years. We could scale our- We were scaling our business dramatically by knowing you and doing your training. We left all of that behind to come be a part of the Elliot Group because we believe in the mission. We believe in the people. We believe in help creating the most lethal salespeople on the planet and doing it the right way with the right intent, with the right direction. So we love it. Yeah. And when he started, he started saying, hey, we made the mistake. We know which mistakes we made and we want to teach it to people. You have the blueprint to do so. Decades in the days, baby. That's what we want to do. Dude, I've never met more people and I love you guys. I'm not just saying this because now y'all are my bosses and we're all on camera, but- Yeah, we're brothers. Yeah, no. You guys truly care, because I wouldn't have moved down to Oklahoma if you guys didn't. I don't even know where Oklahoma. Well, I'm just saying, I was in the house at Colorado. We are going there. All right, but here's the deal. You guys care more than anything that I've ever seen anybody for the salesperson, for the dealers, but the salespeople, y'all know and you've been there and we know and we've been there. We know what they're going through. But that was one thing when I figured, when I found you or Sean found me and I found you, whatever.  You know what I'm saying? Like you were always willing to pick up the phone. I couldn't pick up the phone and call any of my other mentors, online or sales trainers.  It was like, Sean would be hitting me every day, you know, Gion, Ryan. I was calling Ryan for word tracks. I'm like, these guys can do something that is so much more, so much different than anything I've ever seen. And it's never been seen in the car business. And I remember Andy told me, he's like, I'm gonna out care you about your business. And I'm like, well, that's weird. It's my business. It's my family. It's my family too. I'm gonna out care you.  What number are you at? What number are you at? How much are you doing good? Are you double the business? I'm like, this dude really, truly cares. And here's the deal, dude. He's calling the dealer, you know, and he's like, hey, how are y'all doing down there? You know, how's everybody doing with the training? I'm like, dude, nobody does that, dude. Nobody does that. You know, that's one thing that the dealers for training, they're always like, well, how I'm plugged in are people gonna be when they just turn on a screen and then they get away. No dude, Elliot, we are plugged in at all times. I know, you don't sleep. Oh, I know, I know, man. Y'all running out, Jackie's commenting on people's Facebooks, you know, in our Facebook group at like 2 AM yesterday. It's special, man. It's special. Can I say this? And obviously, look, I mean, we could go on for a billion years and I wanna say this that, I'm gonna tell ones, I want you guys to tell the story, but do this, what's the number again if they wanna reach out to you guys?<PHONE_NUMBER>. And say it again, this is just text. It's very simple, right? Shoot a text message, you know what I'm saying?  You know what I'm saying? Say that again.<PHONE_NUMBER>. Okay, now, look, I wanna say this, right? This is probably one of the most crazy stories and I want you guys to share it, but there was a guy who reached out and then he said, hey, listen, I've got a guy in my dealership that owns all, basically he's selling 40 cars a month, he's doing all of the social media, he is on every platform, nobody beats this guy. We all, which is him and the rest of the sales people, sell eight to 15, and that's just where we are and nobody's gonna beat this guy. And when you heard nobody's gonna beat this guy, you guys got a little crazy. I've never seen the devil come out until then. Personal challenge. And you said, do me a favor, give me 30 days and we're gonna crush that guy. Yeah, Alex did the 37 the next month and the guy tied him and it was the first time he's been tied in like six years. But here's the deal, the guy that reached out to us that set up for you guys to do the branding with and the marketing, the deal is that he was horrible on camera, he had never recorded himself on a video. He just needed the coaching, dude, everybody needs a coaching life, you know? Tell him about the time though that he was sitting there and him and the top guy were sitting there, right? And then the people walked in, the two deals straight, that walk. Oh, oh, to the straight, past the tower, straight to him? Yeah, yeah, yeah, yeah. So, you know, he was telling us, he's sitting there and he's, you know, next up in the line and the upline and however that works at their dealer. And the first person walked up a couple and they said, hey, we're here to see this guy. And the top guy was like, what, where's this coming from? You know, he took that customer, they were referral from Facebook. Eight pounder. Yeah, eight pounder on that one. And then by the time the paperwork wasn't even dry yet, right? The customer's still in finance.  It's like his first Facebook referral, right? He's like, this thing might be the deal, dude. This thing might be the deal. The top guy's like looking like, what's that? It was his second day.  I mean, second day doing that. Second day doing the marketing. Second day doing the marketing. He'd been selling cars for a while, but he just couldn't beat that guy. Well, then he says the second customer came in and he's still jazzed because he can't believe it just happened and he's about to do an eight pounder. Well, then the second customer walked in and asked for him. The dude blew his lid, dude, went home for the day and was like, he's cheating, he came up with all the stuff.  He's gonna crush it. And he's lit the whole staff on fire. I'm telling you, it didn't just... Well, because now all of them are doing videos. All of them are doing a video. All of them are tagging people. The dealers are fricking mad at you. Yeah, and I wanna say this. So after that happened, right, the owner was doing some Joe Verde training. And long story short, you know, and by the way, that's fine.  You don't have to cancel the training program you have now to add us. Okay, we don't wanna take anybody out, okay? What we do wanna do is show you a training program that you can't say no to because it increases results and crushes the scoreboard, which is all that matters. 100%. People lie, numbers don't lie. And that's the beautiful thing we can do, but watch. This guy goes in, he ties them, and then he's on track to beat them this month. Oh, he'll crush them this month. Yeah, and he'll crush them. And you guys are making sure of that. So anybody who reaches out, if they've never, ever reached out before, done any type of training, you know what I'm saying? And this is something... All you gotta do is challenge them, right? Yeah, that's it. All you gotta do is say, I want to beat somebody's tail. And these guys will go through the roof. And here's the cool thing about it, is that, look, you don't have to be great at it because you get coached on how to be great. Everybody needs a coach. You guys have coaches, so do I. We all have anybody that wants to become great has a coach. 100%. It never ends. You match your work ethic to what they teach you. Yeah, and here's the crazy thing is the dealer now, the dealer has increased their units, almost 80 from what they normally sell, and they've done it organically. Because now all of the sales people that were in the store, when that dealer reached out to you, did he say he wanted to pick his top three to do it? Or he wanted his entire staff to do it? The whole crew, and here's the thing too, they don't even know what's coming because the fact that all of these guys are bought in now, it's like a tsunami. It's a compound effect. It's a compound effect, baby. Everybody's following these sales people. Everybody in town is starting to say, hey, what are those guys over there? What are they doing? And not only, I'm not talking about the other dealers guys, I'm talking about the community. I'm talking about everybody who's buying a car now and they're starting to see what this whole team is about. And that is priceless. It's priceless for morale, it's priceless for literally anything that you can do. Yeah, you basically said it best, energy, feeding the machine, everybody buying into one mission, one vision. And this allows that to happen. And it doesn't cost any money. It's free, it's right here, dude. All the dealers love that. And that's the deal is that everybody's got these beautiful phones now, it's just that look, we're either a tool or that phone becomes a tool. And that phone can make you more money than you ever imagined in your life. And I'm going to say this 2021 is about speed. It's about speed, it's about dominating your backyard, becoming the person of interest, which means if you sell cars, if anybody needs a car, they're going to know your name, right? Anytime they think of a car deal. They need to know your name. One of the coolest things about Colorado and what we accomplished out there and it really became a Midwest thing. When people started to think of cars, they would think of the twins, you know? And we, and that can be done anywhere. And that can be done anywhere. And we can show you how, we can show you how you get into having your own website. I mean, we could get into a lot of things. You can go all day. You've got a lot of stuff. We can get into all kinds of all the nitty gritty and we can, we can pack it down the decades. You don't have to be a twin. No, no, here's the crazy thing. We use the unique thing about us. We're twins, people like people. So there's things about us. There's things that are different about him that people resonate with him, that they don't, that they don't won't buy a car for me. Now most people like to buy a car for me. So there's a lot more things that resonate with me than him. But I'm just telling you, we figured out a way to highlight those different things. We're different guys too. We play off the twin thing, but like, but at the end of the day. But the guy who's going to beat that top guy though, I mean, and I'm just going to say this, yeah, no, no, and I'm going to say this, okay? Because obviously it has nothing to do and we laugh every day with him, right? All he did was had to raise his hand and ask for help. That was all he did. But here's the deal. He's about a hundred pounds overweight. He's not the best looking guy in the room, but he's the number one self-person in his dealership now.  And I want to say this to you because he was using that as a crutch because that top guy was the pretty boy, hair comb back, $5,000 suit, been in the dealership for five years, dealers own a son, you know what I mean? Like that guy, listen, you can dominate and crush it. These guys will help you find. Game plan. They'll help you find. That's what it is. The battle plan. The strategy for you to attack. Coach provides you with the game plan. Just go with the game plan. When the coach brings you the game plan, just do it. Dude, that's so powerful. What you said is he was using those things that he thought were stacked against him as a crutch. So many beliefs. Yeah.  They know how you feel. Dude, they know how you feel. The customers don't. They don't want to buy a car from that guy. They don't want to buy a car from Kyle. Maybe, you know? Yeah, no.  Well, that's what you took off of us. Self-doubt. Yeah, and self-doubt was a big deal. There was a time where you guys went online and you didn't like what you saw on the other end. And that was when you guys laid out the blueprint, not only on it, and just document it. You made the mistakes that they don't have to make. And that's why now people, when we talk about fast wins a lot, because obviously who doesn't want to fast win, right? You don't want to get in shape faster. You're seven-minute abs, eight-minute abs. Everybody grab seven-minute abs, right? It's like everybody wants to go, you know, what about six-minute abs? Everybody wants to go faster. Bigger, better, faster, stronger. Right. And the program you put together, it teaches them how to win fast, dominate fast, and they can do it with limited tools. You just need to have a phone. That's it. And you guys take care of everything. Just a phone and shoot a text. And what was cool, one of the things I like is that the guy that we set up about two weeks ago, the first week, he was having a little trouble. And then he didn't reach out to you. And you guys kept reaching out, but he was kind of embarrassed because he got to thinking, hey, this ain't going to work for me. And then finally, when we got him on the phone, straightened him out, he told you what the problem was, guess what? You guys corrected it extremely fast. And now, last week, he sold seven cars. That is unheard of. Most people can't sell seven, eight cars in a month off of Fresh. Most stretches are easy fixes, and we just blow them up so big most of the time anyway. Yeah, we're just scared to say that they're out there to the right people and have them correct them. Yeah, it's just those little tweaks, man. Just a subtle little tweak, man, that's it. And so here's what I want to say. So number one, number two, sells people Nissan in the country. We sold more Nissan's than anybody. Listen, you're here in the Lion's Den. You work for the Elliott Group. You guys are sales coaches. Obviously closing negotiations, overcoming objections, all that. You're all eight up with it. You're geeked out on it, but you have a special niche. One that fascinated me. Like I couldn't understand, you know, when I sold it, when I averaged 70 cars a month as a sales guy, I didn't want to, look, I was always about, I don't care about the units, I don't care about what I can deposit in the bank, right? So I didn't want to be an Ollie Reda and sell 150 cars. That's not my deal, man. That's a lot of wheel work, right? You know what I'm saying? Like I wanted to bring home fat checks. You know what I'm saying? I wanted to make a lot of money. I want to run good CSI scores. I wanted my customers happy. And I wanted my wife to see me happy at work when I came home. And we created that. And I think that that's a great life that every most powerful thing can happen. And the thing is, is like, you know, when you do figure out this and it works for you, you're going to have the best CSI scores because these people are typically going to know who you are before you get there. So that's an easy survey. And friends of yours, can I say this? Because you don't have to have a lot of friends. No, no, no, you don't have to have really, they've become friends of yours because you are showing them how to network that and network. Yeah, I just want to say that. Like the social media friends, and you may think like, well, you know, people don't like me. I don't have a lot of friends. You guys, y'all's program fixes all of that. And it's not about where you're at right now. It's about where you're going to go when you acquire that skill. It's not about what your profile looks like now. It's about where we're going to help take you. Yeah, when they're done, it's over. It's a 360. Easy. GMs, owners, sales managers, sales people. I don't care who you are. I don't care what your title is. If you're in the automotive space, right? And I know you guys help tons of people, but if you're in the automotive space, reach out, shoot these guys a text message, okay? You guys can grind them out, ask a couple of questions. We'll go over everything with you. It doesn't matter. Long story short, if you want to crush and kill this year, whether you're watching this in 2023 or right now it's January of 2021, okay? The second you get this, look, I'm going to tell you this, never stop learning. Challenge you to challenge them. How about that? That's it. We're going to keep learning as the year. Every single day we find, we're working with sales people across the country. We're learning different things every day. So whether this is seen right tomorrow or a year from now, the Elliott group is always learning. We're always moving forward. We're always moving the needle. We can help you move the needle too, and we can do it fast. That's it, fast wins. I love it, man. So with that being said, hey, give that number one more time. Let's rock and roll.<PHONE_NUMBER>, call me. Hey, and don't call me after you've thought about it. Think, do it now, man. Call me right now. Let's not wait. Let's get to work now. Let's not do it tomorrow. Do it right now. Let's just get to work, man. Anything that should be done today should be put off for tomorrow. That's what I was just trying to think of. Yeah, I got it. Yeah, that's what you know. Hey, hey, check that out. That's a good coach, because he knew where my brain was, but it was kind of like, and he was like, boom. Yeah, anything that should be done today should be put off for tomorrow. And guess what? If you want to crush it, if you want to kill it, maybe I've learned everything from you. I used to say it all the time in Spanish. I used to say it all the time in Spanish. Like, what is that? What do you say? And I mean this when I say this, guys. We love you. We appreciate you. We're grateful for you. You guys can always go to the website, theeligroupnow.com, theeligroupnow.com, 2Ls, 2Ts. You guys can always reach out to these guys. Shoot them a text message. Get us on Facebook or Instagram, evanmac303, eanmac303, any of that Facebook, Instagram, Snapchat, we are here for you.  Listen, I want to say this. If you're watching this, if you're listening to this, we love you, we care about you.  That will never, ever, ever change until the end of time. Never. The only way that we won't be here is if we're dead. We're incarcerated or dead. Either one of those two things are going to happen. We don't know where, man. We got your back for that. We'll be right here. You're our tribe. You're our people. We got you. Love you guys. Have a great day. See ya.


If we have a convergent series, we can use the partial sums to approximate the value of the series and we can determine how many terms we need to add to get an approximation to a desired level of accuracy. The alternating series theorem is incredibly useful as long as we have an alternating series. But what if we don't have an alternating series? For that, we can use the Taylor remainder theorem. Now the remainder theorem has a rather daunting expression in words, but in practice it's actually pretty easy to use. The error in approximating my function at C by the Taylor polynomial at C is going to be given by this expression. The n plus first derivative of f evaluated at some place x star over n plus one factorial times c minus x zero raised to power n plus one. So c is the value we're trying to approximate for. x zero is the center of our expansion and x star is some number between x zero and c. This formula is quite a mouthful, so here's another way of looking at it. In effect, if we add up the terms of our Taylor series to a certain point, the error is the next term with the derivative evaluated at some point x star instead of at x zero, the center of our expansion. Now this sounds really good because it suggests that if we know what x star is, we could use the remainder to find the exact value of the function. And wouldn't it be great if the universe was a kind and gentle place that allowed us to find what x star was easily? Unfortunately, we don't generally know what x star is, so in practice we're going to find the greatest possible value of the remainder and we'll note that the error has to be less than whatever this amount is. This leads to the following idea, which is somewhat counterintuitive. When calculating the error, what we want to do is we want to find the largest possible value of the error. We want to, in general, overstate the actual error. And this seems counterintuitive because don't we want to get an accurate approximation? And the answer is yes, but we also want to not lie. Here's an analogy that might be useful. Suppose you tell somebody lunch will cost under $10. If it turns out that lunch cost $12, $13, $14, you've just lied to them, and they might be very unhappy with you, especially if they planned for lunch costing under $10. On the other hand, if you said lunch is going to cost under $50, and it ended up costing $12, $13, $14, $15, then you haven't lied to them, and they're actually pretty happy because it cost them a lot less than they thought it might. So in general, it's a good idea to overstate the possible error because the reality will be better. For example, suppose we want to approximate e to power 0.2 to 4 decimal places. So we'll start with our Taylor series for e to the x centered at x0 equals 0, and we'll evaluate this at 0.2. It's not an alternating series, so our remainder theorem for alternating series doesn't apply. Fortunately, we can use the Taylor remainder theorem. The error with stopping at the nth term will be the n plus first derivative evaluated someplace divided by n plus 1 factorial times our x value minus the center to power n plus 1. Since we're evaluating our Taylor polynomial at 0.2 and our center is at 0, this is going to be 0.2 minus 0 to power n plus 1. Meanwhile, x star is between our center at 0 and 0.2 where we evaluated our Taylor series. Now all the derivatives of e to the x are just going to be e to the x, so we can simplify that n plus first derivative. And 0.2 minus 0 is just 0.2, so we can simplify the expression for our remainder. Now remember that we want to find the largest possible value of the error so that we know the actual error will be less. So we want to find the maximum value of e to the x star in this interval. Since e to the x is an increasing function, then the maximum value of e to the x star in this interval will be e to the power 0.2. But we don't know this value because this is the value we're trying to approximate. So what can we do? Again, in general we want to overstate the error so the actual error is guaranteed to be less. So we want e to the power of 0.2 to be less than something we do know. Now finding out what this upper bound is is more of an art than a science, but we might proceed this way. We know that 0.2 is a fractional exponent and nobody really likes fractional exponents because they correspond to roots. So I do know that this is less than e to the power 1. And that would be great if we knew what e to the power 1 was. And as a mathematics student you should know e to the power 1 or e is about 2.7 mumble. And so we could use 2.7 mumble in our expression, but we won't because that's a decimal and it'll make our expression somewhat messy. The key is we can use any upper bound that's larger than e to the power 1. So maybe we'll use, oh I don't know, how about 10? If you really love decimals you can use e to the power 1, 2.718 mumble mumble mumble, but if you don't really want to play around with decimals we can use a larger number like 10. And so our error will be guaranteed to be less than 10 times 0.2 to the power n plus 1 over n plus 1 factorial. So this tells us the error with stopping at the nth term. So how far do we have to go? Well if you don't play you can't win. So let's start by adding some terms. If we only go as far as the constant term, n is equal to 0, and so our error will be less than 10 times 0.2 to power 1 over 1 factorial, which is equal to 2. And since we want to approximate e to the power 0.2 to 4 decimal places and our error is less than 2, we can't guarantee that we're accurate enough. Our error is too big so we need to include the next term. If we include the n equals 1 term, then our error is going to be 10 times 0.2 to the power 2 over 2 factorial, which will be... And that's still too big so we'll need to include the next term. So if we include the n equals 2 term that's corresponding to the x squared term, we get an error of... Since our error is 0.0133, this means we can guarantee the whole number and the first decimal place, but since we want 4 decimal places we need to include the next term. Including the n equals 3 term is going to give us an error less than, which will give us 3 decimal places of accuracy, but that's still too big so we need to include the n equals 4 term. If we include the n equals 4 term, then our error will be... Which gives us our 4 decimal places of accuracy, and so e to the power 0.2 is going to be approximated by this partial sum.


The first time I buy a laptop, if I lose money, I throw that laptop. I have four laptops, I've thrown away. I try to sell that laptop and Tosh wants me to go ahead. I try to get rid of it. And so I finally just gave it to someone to sell for dirt cheap. And sadly, whoever bought that laptop, I'm so sorry. It's not my fault, dude. Once I bought it, $7,000 laptop. I think $7,000 to $10,000 laptop. It was the very first multi-monitor laptop. I lost like 10, 20 grand that day.  It's still sitting in my vault and I was plugged in first.