In just a moment enjoy my son Jeep. First though this week a group of your friends reach their 21st birthday. You visit with them each weekday over the station. Of course we mean the barbers of one man's family. Yes for 21 years you've been sharing the happiness and tribulations of this lovable family circle and you can continue to enjoy them Monday through Friday. You'll also enjoy your other weekday favorites. Bob Hope, Dave Garroway, the news of the world and John Cameron Swayze. Now it's my son Jeep on NBC. How? This heat big chief running low. I mean good evening. This is Dr. Robert Allison speaking. Sometimes referred to as Jeep's father and better known recently as Grove Falls outstanding Indian chief. It was just one of those things not really anyone's fault but if you had to put your finger on someone you could do worse than put it on my young offspring. My little miss to fix it. My son Jeep. Yes it's my son Jeep. The bright and warm hearted adventures of the Allison family of Grove Falls. Transcribed by the National Broadcasting Company and starring Donald Cook as Doc with young Martin Houston as irrepressible unpredictable ten-year-old Jeep Allison. Some of the nicest moments around our house take place after supper. We all gather in the living room Mrs. Bixby our housekeeper Jeep Peggy Barbara Miller who works for me but who is like a member of the family. This is when we talk over the events of the day and plan the events for the days coming up. This is also when I usually get no inkling whatsoever of what's in store for me. By the way everybody I'm being installed Friday night.  I'm being installed by the sisters of many haha you know my large I've been elected many haha for 1953 you mean what's left of 1953. She was an Indian princess up in Minnesota or someplace.  Congratulations do we call you your royal highness. Just call me many. I think it's a great honor for the whole family congratulations. Yeah I think it's swell. The only reason I brought it up is I'm gonna need some help with the costumes. Costumes how many are you going to wear. Just one. The others are Mr. Mooney. You mean our milkman. Is he a sister of the many haha. Oh mercy no. What is he then a brother of many haha. He ain't no relation at all but every year when the new many haha gets installed she has to have a chief for the occasion. What's he called chief bottle washer. He's doctor. He's chief running bear how come Mr. Mooney's taking you gotta have somebody I saw him when he was delivering the milk this morning I asked him. Mrs. Bixby how could you how could I what don't you know the woman's not supposed to make the first advances you're supposed to wait for the man to ask you. Yeah well Peggy when you get to be my age you're allowed a few privileges. You don't waste time beating around the bush you get right to the point haha. It was a joke I suddenly got the picture of Mr. Mooney clattering up the back steps and Mrs. Bixby saying I'll have three courts this morning and how would you like to be chief running bear. I'm sure Miss Bixby didn't say that. No I ordered four courts. You mean you really you really did jump in and ask him like that how did he take it. He bought a little but when I told him what an honor it was and how all the refreshments was free he gave in. Miss Bixby what does many haha do. Do. Don't do anything except preside at the meetings. Oh my land. What's the matter. I just remembered that I got to make a speech in Indian course not. What do I say. Oh well that's simple you just say. Well no no you say. Go on doctor. Well you what do you mean go on I can't just toss it off it requires little thought between the five of us we certainly ought to be able to make up one speech don't worry the whole thing to me all right to speech there you are Miss Bixby your troubles are over sure I know all about Indians well if you think you can do it you go ahead it'll sure take a big load off my mind this installation means a lot to me I mean it's a lot to all of us this is a project for the whole family we've got to make this the greatest installation many haha's have ever had here here Miss Bixby deserves nothing but the best who works harder and does more for other people now it's our chance to do something for her of course we're going to help father Barbara and I are going to work with Mrs. Bixby on the costume that's right and Jeep's going to write the speech that's right and pop's gonna and what are you gonna do pop well I'll be available for anything that comes up feel perfectly free to call on me at any time well this is one project you can't possibly get involved in father unless you want to help with the sewing oh so you think I have no use in this project well mark my words before it's over you will probably be begging me to help you please hand me the scissors Peggy here you are thank you you threw that sleeve Barbara not quite now as soon as you are I got the other one basted Mrs. Bixby what's Mr. Mooney like well then say child you see him as often as I do well I mean what's he like when he's not being a milkman well he's like most other many's age kind of set in his ways I wonder why he never got married maybe nobody asked him maybe he ain't bad looking nice steady sort of fella Mrs. Bixby are you interested in him me mercy no child what gave you that idea well after all he's taking you to the installation on the other way around I'm taking him ladies sewing circle hard at work I see doctor you're standing in my life no sorry what's this piece cloth honestly father what does it look like well it looks like half a sarong it's Mr. Mooney's costume where's the rest of it that's all there is there isn't anymore you mean that poor fellas got to go to the installation dressed in nothing but this half a sarong it's not a sarong father it's an Indian loincloth besides that ain't all of his costume well I'm glad to hear that he wears a couple of bracelets too and that's all that's all well won't you be a little conspicuous you couldn't you wear a few more clothes nope it's traditional whole ceremony is you see when mini ha ha and her chief enter the hall everybody forms in two lines and we walk between them up to the throne and then the 12 handmaidens of mini ha ha go into their war dance why because it's traditional then they need around us in a circle and I make my speech well meanwhile what is Mr. Moody doing besides shivering nothing chief running bear it's certainly the appropriate name yeah did you make up the name to fit the costume or the costume to fit the name and neither one father you heard Mrs. Bixby everything's traditional all I know is I wouldn't be caught dead in this costume what do you wear Ms. Bixby well this long skirt here in the moccasins and the jacket it seems to me your partner is getting a dirty deal you're going to be all dressed up nice and warm poor Mr. Mooney is going to be freezing to death well Mrs. Bixby tomorrow is the big night are you excited yep tired to working on those costumes all week warm me up well now that they're finished you'll have a chance to relax oh then say child I can't relax there's eight million things to do in connection with the installation I'll be on that phone all day tomorrow are you people sure there's nothing I can do to help on this project we're sure doctor for everybody but me's been so busy the past three days I'm beginning to feel useless I just finished it finished what the speech I wrote from Ms. Bixby what's this mr.  Mooney is that doesn't matter you always say pale face when you talk in the end sounds better where was I well many moons ago sisters of many hot I started lodge hug whole tribe happy with Lodge uh mini ha ha happy with Lodge uh me promise bare meat and plenty buffalo and wigwam when winter come uh great spirit smile on sisters uh mini ha ha smile on sisters uh me promise all sisters who pay up wampum on time go happy hunting ground when they die hug how well how'd you like it Barbara well dear I thought it was very Indian what did you think peg isn't the end kind of morbid all that talk of dying well gosh no all Indians want to go to the happy hunting ground the Spitzbees just saying that they pay up their dues they'll go you know come to think of it no many ha ha's ever made a speech in genuine Indian before how'd you like it pop I'm very impressed old boy but it did seem to me there was one too many which one well now this one right here oh you've been a real help honey the whole family has you know what I do without you I'm all set for the installation got my costume got my speech and I got mr. Mooney hi jeep where's miss fixby potmater stay in bed a little longer this morning rest up for tonight that's right big shindig tonight isn't it huh huh guess you're looking forward to it huh sure all them free eat gotta admit it jeep I'm a man who likes his food you're not gonna be so thin then I never figured that out I keep eating and eating nothing happens kind of discouraging or it would be if I didn't enjoy eating so much anyway I'll bet you look real good in your costume well sure I kind of fancy myself an Indian costume all them feathers you're not wearing any feathers no I guess it wouldn't be with buckskin britches you're wearing any britches no oh oh got one of them kneeling jackets instead hey you're not wearing a jacket hey listen what am I wearing the loincloth is that all and two bracelets now jeep I've been up since the crack at dawn night and no mood for jokes I wasn't choking mr. Mooney you mean I'm supposed to walk into that hall in front all them women in nothing but a loincloth and two bracelets I won't do it well no sir Elmer Mooney is not going to allow himself to be made the lap and stalker grow falls oh gee you mean you're not going to go with Miss Bixby tonight that's exactly what I mean she's gonna be real unhappy I wear that dare loincloth I'll be twice as unhappy but this means a lot to miss Bixby can help you get back on my rounds friendship is one thing but making a certain cool to yourself is another golly what I tell him poor miss Bixby she do she's gotta have a chief well no two ways about it I'll just have to find somebody to take her afternoon miss Bixby I just come by cause you come by to get your costume I come by to tell you right here I go get it for you hold on there I didn't come by for no costume I come to tell you I can't go with you tonight you can't go my brother over in Lakewood was suddenly took sick and I've got to take care of him but what am I gonna do I know it's awful late to let you know but you'll find somebody else wait a minute Elmer Mooney I happen to know you ain't got any brothers did I say brother I meant my cousin yes come over and take care of me take care of you I thought he was the one who was sick did I say he was sick I meant me yep I'm I'm the one who's sick you don't look sick to me looks are mighty deceiving Mr. Bixby now that ain't all this deceiving you're as healthy as you've ever been even that ain't saying very much now let's have the truth well if you gotta know I'm gonna be sick tonight oh you ain't even making sense Elmer how can you tell now you're gonna be sick tonight I always get a warning in advance ain't no use fighting it either there it is you realize you're leaving me high and dry don't you can't help it ain't my fault I got this sickness coming on coming on faster and faster well there goes running there now what do I do what's the matter you look funny Mr. Mooney ain't gonna take me to the installation oh well that's what I came to tell you oh a ball is silly how'd you find out he told me how'd you find out he was just here told him he'd look swollen that costume but he just wouldn't believe him and his sickness why couldn't he be man enough to tell me the real costume what about the costume I told Mr. Mooney what he was wearing tonight he got all upset oh so that's the reason said he'd be the laughing stock of grow falls but nobody ever objected to the loincloth before I even told him about the tube racists guess he was expecting to wear more than that my own installation ruin I'm sorry miss Bixby I didn't mean to scare him off of course you didn't child oh anyway it's water under the bridge now problem is who am I going to get that's what I've been working on I asked the mailman when he's married went down the filling station but Mr. Rogers said he wouldn't get dressed up like an Indian if it paid him well you tried honey you can't do more than that yes no pop in the office mm-hmm hey I got an idea and if you don't have anything to worry about me ask you something naturally what well it's a kind of a what you call a hypo a hypo a hypo something question hypothetical yeah I guess that's it or anyway if there was a family there was somebody in it that everybody loved and she was in trouble when they help miss Bixby you've got me completely confused as usual is this a hypothetical mrs. Bixby or our mrs. Bixby hypo and this imaginary person's in trouble mm-hmm shouldn't everybody do everything they can to help her certainly they should everybody in this imaginary family loves her very much and you can tell her I said so she pop thanks nothing of it you want to tell miss Bixby or shall I tell her what that you're gonna take her to the installation what well then you say what I said no such thing and you know it pop what you're gonna do mr. Mooney is not gonna go and she hasn't anybody else well can she ask around some place but the party's tonight it's too late what's the matter with mr. Mooney is he sick no he just doesn't want to go why you wouldn't be interested in this reason that's where you're wrong I'm hanging on your every word what made mr.  Bixby's installation is a family project and you're the only one who hasn't done anything yet well maybe so but this is asking too much it seems to me that I heard someone say before the weeks over you'll be begging me to help well we're begging you that's right throw my words back at me is getting so a man can't open his mouth without without putting his foot in it father there was no way out you've got to do this for mrs. Bixby well I don't mind taking her but why can't I wear more clothes because father this costume is traditional it's also chilly I got an idea pop you know the red flannel underwear you wear when you go ice skating and put that on underneath the loincloth well that's a good suggestion Bob it'll keep you warm the answer is no absolutely definitely no turn around father I like the effect better without the red flannels mmm aesthetically speaking yes but this way he's a little more dressed I know but he doesn't look much like an Indian chief anymore I don't feel like one either I'm going back upstairs and they go off this ridiculous outfit and forget the whole thing but you can't do that father you promise I didn't promise to provide the sisters of Minnehaha with an evening of laughs when next you see me I shall be wearing trousers I'll probably never take them off again as long as I live pop what you want mrs. Bixby's whole evening spoiled well of course I don't oh all right stop making me feel like a heel I'll go and I'm sure you'll have a wonderful time too I'll bet they said the same thing to Joan of Arc as they were tying her to the stake just one thing though now that you're wearing the red flannels your your face looks awfully pale I got an idea we'll make pop's face up so it matches the red flannel the answer is no absolutely definitely no for a G up here don't forget the back of his neck is he talking off yet Barbara well he's not as red as the flannels yet but he's getting there hey what's that trickling down the back of my neck I'm sorry pop got too much water on the sponge I guess and what is this stuff anyway red ink oh honestly father no some makeup I use when I played Pocahontas's father in the Thanksgiving play what do I look like Barbara I mean truthfully oh interesting you can take the towel off now pop I'm through I wish I was hmm I have to admit it cheap you did a good job you sure did feels like I was wearing a mud pack gee I was just thinking too bad I can't dress up like an Indian and go with you you can take my place you could go as as little chief get father in soup oh my goodness who's that oh oh doctor oh for a second I didn't recognize you that's the first ray of hope I've had maybe nobody at the installation will recognize me either you look wonderful Mrs. Bixby you like it Barbara very much you'll be the best dressed mini ha ha your large has ever had she must be you look like a real princess oh do I Jeep doctor I can't tell you how grateful I am for your going with me I know how you hate the idea no no I don't not at all I simply feel a trifle self-conscious after all I've never gone to the social gathering in my underwear before I guess we're all ready to go all right Jeep will you get my coat you can't wear a coat pop why not it's cool outside I'm not going like this oh don't worry doctor I got a blanket for you here what you you expect me to all right I'll put it around your shoulders father I'll never forgive that mr. Mooney that coward I have half mine to find another milkman one will be a little more cooperative well let's get out of here you two have a good time and don't worry about getting home early I'll stay with Peggy and Jeep until you get back night pop if anybody wants to know who painted your face don't forget the time that was made don't look so unhappy father you'll be the most attractive man in the place and the only one is there a backdoor to this hall we can sneak into well there is not we're going up the front steps like everybody else well I just thought I'd ask one thing I forgot to tell you doctor when last year's mini ha ha hands me the warm pump belt that's when I make my speech then I hand the warm pump belt to you and you got to make a little speech too no well it ain't a real speech doctor just a few and no absolutely definitely no did you make the speech last night pop yes what you say I don't remember a single word the whole evening is just one unpleasant memory let's talk about something else she or she even going to tell me about the party well how can I it was one long never felt more ridiculous in my life people staring at me all night you know something those red flannels itch things I go through for this family hey you didn't wash all the makeup off pop there's still someone your right ear I left that there purposely a reminder to confine my future insanity is to the privacy of my own home no they've got a picture of you and Mrs. Bixby on the page oh no now everybody in town will be laughing at me oh how dare they publicize my disgrace I'll never leave it down I ought to sue that editor that knuckleheaded an income poop but it's a very good picture for me I'll bet it is Robert Allison doctor and part-time Indian chief I do not very well I'll cut it out and put it in my scrapbook well hey well well you're going with a picture don't you think I want to see it too but but you just say all you know how pop is when he's upset well it really is a very good picture father well let me see well gee it is a good picture you look terrific pot well it isn't too bad is it and listen to what the paper says about you dr. Robert Allison one of our fair city's younger medical men play chief running there to mrs. Henrietta Bixby's mini ha ha and carried the whole thing off beautifully he looked every inch the Indian brave the handsomest chief the lodges managed to snag in 22 years of installations wait pop aren't you proud oh well who cares what the newspapers say I read some more Peggy the traditional chief's costume was augmented for the occasion by another garment which shall remain nameless a ye editor applauds dr. Allison's good sense and foresight he will probably be the first chief who doesn't wind up with a bad case of influenza oh that is right young fellow I was looking up sometime my goodness that phone's been ringing ever since we got up this morning by the way mrs. Bixby have you seen the morning paper have I seen it I just called up and asked him to send over 10 more copies oh good idea leave a couple in the office for the patients can I have one to take to school pop well I don't see why not I'll take this one for my scrapper landscape dr. you wouldn't believe all the nice things everybody's saying about you really oh half the lodges called up already to congratulate me and bringing you and and to ask you to the picnic this summer well I think that could be arranged I never saw anybody makes it a big hit before and in that speech you thought up on the spur of the moment everybody loved it what did you say father oh a little of this and that but what I don't remember anyway pop we're sure proud of you we certainly are and there ain't no doubt about it it was the most successful installation any mini ha ha ever had well that just goes to prove that if you accept a social obligation don't make a fuss about it if you go into it with the right attitude and spirit you're bound to come out all right my son jeep was created and written by water black and William Hendrick and directed by Dan Sutter tonight's cast featured Lynn Allen as Barbara Miller John laser as Peggy and Leona Powers as mrs. Bixby with Cameron Andrews and introduced young Martin Houston as 10-year-old Jeep starring in the role of doc is one of America's finest actors and most versatile comedians Donald Cook currently starring in the Broadway hit the moon is blue and now this is Fred Collins inviting you to be with us again next week same time same station for another transcribe visit with radio's number one family the Allison's of Grove Falls and my son jeep tonight it's the Phil Harris Alice face show on NBC


Good morning, everyone, and welcome to the sixth meeting of the Rural Affairs, Islands and Natural Environment Committee in session 6. Before I can begin, I can remind all those committee members using electronic devices to turn them to silence. I would also like to apologise for the delay. We had a technical issue and we would like to thank the minister for her patience and the witnesses in other sessions. Our first item of business is consideration of the Forestry Exemption Scotland Amendment Regulations 2021. Those regulations are subject to the affirmative procedure and are referred members to paper 1. I welcome Mary McCallan, minister for environment and land reform and her officials, Tim Gordon-Roberts, the regulations manager for Scottish Forestry and Amy Hogarth-Salister, the Scottish Government, and I invite the minister to make an opening statement. Despite the delay, I would still like to give some opening remarks, hopefully to give an overview to the committee of what we are proposing here. Thanks very much for having me along to discuss the Forestry Exemption Scotland Amendment Regulations 2021. The 2019 Forestry Exemption Regulations set out the failing activities that can be carried out without a specific failing licence from the regulator, which in this case is Scottish Forestry. The first amendment that I am proposing today is to correct a minor typographical error in the definition of statutory undertaker, where the word power will be amended to peer, as was originally intended. The second amendment is more substantive. It responds to an unintended consequence resulting from new planning regulations that were laid earlier this year, which created permitted development rights for peatland restoration projects. If not corrected, that could potentially result in the tree-failing component of peatland restoration schemes not being given full consideration and proper scrutiny by Scottish Forestry, as is of course supposed to be the case. At its worst could result in large-scale tree-failing as part of a peatland restoration project without sustainable forest management principles having been applied. The unintended consequence was identified during the development of the PDR for peatland restoration. The issue was identified and the proposed response that we are tabling today was agreed upon. It was agreed to be a pragmatic way of ensuring that sustainable forest management is fully integrated into the peatland restoration permitted development rights. Applicants for peatland restoration schemes that propose deforestation are already required to obtain an environmental impact assessment from Scottish Forestry. They are also required to apply to the local authority for the permitted development rights. The effect of that today will be that they also need to apply to Scottish Forestry for failing permission. On the practicalities of that very briefly, the failing permission can be applied for at the same time as requesting that environmental impact assessment that I mentioned, and we would advise that that is done prior to applying to the local authority for the permitted development rights. The planning period for peatland restoration PDRs is a rigorous process. It requires in-depth surveys and data analysis. I am comfortable that there is sufficient time within that process for this additional step of a failing licence to be agreed and obtained. Just to summarise—and not to speak for too long—the Scottish Government policy and including Scottish Forestry policy supports the restoration of peatlands involving deforestation. It shows that the change of land is in line with public benefit and can produce public goods. For example, the obvious is emissions reduction, but there are others, including biodiversity gain and community benefit. I hope that that has explained what we are proposing to do, and I am content to take any questions. Thank you, minister. I now invite questions from members. Based on what you have just said, it would be fair to say that this is an uncontentious piece of legislation. Yes, I think that that is right, Alasdair. Thank you. I think that it is uncontentious because I think that it is intuitive that if you are making a peatland restoration project and it requires deforestation that you should apply for a failing licence in doing that. I think that that is actually borne out in the behaviour of a lot of people who have been seeking to use the peatlands PDR because one of the things that I have been thinking about world is to what extent in the interim period have people applied for peatlands and this hasn't operated well. I am aware of two that are on-going and one has already begun preparing to apply for the failing licence, albeit that that wasn't strictly required, and the other is considering whether it is necessary. I think that it is intuitive and I think that it is uncontroversial. I agree, minister. I don't think that it is controversial in any way. However, I noted that there wasn't an impact study done, an impact assessment and I just wanted reassurance that to be able to apply for the failing licence in this circumstance that there was capacity and resource to be able to do it. You make a good point. The impact assessments across the board were carried out during the development of the peatland restoration permitted development, right? On that basis, I am content that this small amendment, which, as I say, was agreed and the course of to redress it was agreed during that process, is bound up in one of the same. I am content that the assessments made then still apply. Was there any suggestion that there were bodies out there that were looking to use the loophole to fell trees and not go through the process? Was there any suggestion that that might be the case and why that has been put in place? No, thanks, convener. I don't think that that is the case. I think that it was from the very beginning recognised as being something that was unintended and because the course of action to redress it was decided at that point as well. I think that it has always been understood that it shouldn't happen and I have no evidence that it has been sought to be exploited. In fact, as I was saying to Alistair, there are two on-going live applications for one of them. They are already applying for the failing licence, albeit that it is not strictly required at the moment. Given the push for peatland restoration to tackle climate change or whatever, do you foresee other pieces of legislation coming forward to ensure that that drive to restore more peatland is not used for other examples that might be harmful to the environment? I am not entirely sure what you mean, convener, but I think that we would both agree that we have these exceptionally stretching climate targets. One of the reasons that we can have them is because of the ample opportunity in our natural world to sequester carbon. In the next 5, 10 or 15 years, one of the biggest questions that we will all have to grapple with is about land use and land use change, which best takes us to those targets. Does it fairly and does it in a way that is also good for the nature crisis and is good for communities? It is quite interesting, because this is the epitome of those two issues coming together and how we balance public benefit. Thank you for coming to speak with us today about this subordinate legislation. I am just curious about any kind of burden that might be put on the forestry Scotland. Obviously, they already process filling applications, but I just want to hear if that creates any more burden. The underlying piece of my question is just understanding from my other committee that planning departments, so this whole licensing or permitting seems to be a very stretched area. I am quite concerned about that because, going forward, we are going to be shaping Scotland for the next 20 plus years, and it is just making sure that departments are resource properly, staffed and resource properly to do that work. No, thank you for that point. I agree, of course, as those become, as peatland restoration grows in popularity, as we do what we need to do in forestry and planting, pressure does mount on the folks that need to consider the applications. In this circumstance, I am absolutely confident that the Scottish Forestry has the capacity to take on what they will be required to as part of that. Actually, that takes weight off of the local authorities because, in the interim period, without the requirement for the filling license to be applied to the Scottish Forestry, it would have fallen to the local authority to consider it, and therefore that correction allows it to go back to the Scottish Forestry who I am confident can manage it. No further questions. We will now move to agenda item 2, subordinate legislation and the formal consideration of the motion to approve the instrument. I invite Ms McAllen to move the motion for S6M-01170. Does any member wish to debate the motion? No, okay. Is the committee content to recommend approval of the instrument? Finally, is the committee content to delegate authority to me to sign off our report or under deliberations on this affirmative SSI? That completes consideration of the affirmative instrument. I thank the minister for our patience and our officials for attending today.


Hi and welcome to the session. I'm Shashi and I'm going to help you with the following question. Question says, examine the continuity of function f where function f is defined by fx is equal to sine x minus cos x, if x is not equal to 0, fx is equal to minus 1, if x is equal to 0. First of all let us understand that function f is continuous at x is equal to a, if function is defined at x is equal to a or we can say f a exists and limit of the function is equal to value of the function at x is equal to a. This is the key idea to solve the given question. Let us start with the solution now. We are given function f is given by fx is equal to sine x minus cos x, if x is not equal to 0 and fx is equal to minus 1, if x is equal to 0. Clearly we can see function is defined at every real number. Here it is defined for all the real values of x greater than and less than 0 and here it is defined for x is equal to 0. So we can say function f is defined at every real number. Now let us discuss continuity of the function for all the values of x less than and greater than 0. We know fx is equal to sine x minus cos x, if x is not equal to 0. Now we know sine function is continuous at every real number and cosine function is also continuous at every real number. Difference of two continuous functions is also continuous. So we can say function f is continuous at every real number greater than and less than 0. Let us discuss continuity of the function at x is equal to 0. We know function is defined at x is equal to 0 since it is defined at every real number. Now let us find out limit of the function at x is equal to 0. So we can write limit of x tending to 0 fx is equal to limit of x tending to 0 sine x minus cos x. We know for x slightly less than and greater than 0 fx is equal to sine x minus cos x. Now this limit is equal to sine 0 minus cos 0. We know sine 0 is equal to 0 and cos 0 is equal to 1. So we get 0 minus 1 and our required answer is minus 1. So we get limit of x tending to 0 fx is equal to minus 1. Now let us find out value of the function at x is equal to 0. We know f0 is equal to minus 1. Now clearly we can see limit of the function is equal to value of the function at x is equal to 0. So we can write limit of x tending to 0 fx is equal to f0 is equal to minus 1. Now this implies given function f is continuous at x is equal to 0. We have already shown that given function f is continuous at every real number greater than and less than 0. And here we have shown that given function f is continuous at x is equal to 0. Now from these two statements we get function f is continuous at every real number. So our required answer is function f is continuous for all x belonging to real numbers. This completes the session. Hope you understood the session. Take care and have a nice day.


Mae genlubus gryffau. pH21. Dave Thompson. A bod i'r gyflym, rwy'n ddwhiffrwyd regwmau tracef o'r ddiwygau hyfer o reau cydnebydd y ffordd i wneud y llifoedd hwynt. Cymru Alex Neil. Ar honan, NHS Highland y Secondly Service Change Proposal byw gwaith o ysgail y Calch yn southwes Ross. Yn y ffordd, rhaid diwylliannau ar y flodau 3 mgtigol, coentwch dros 29 agos 2014. Felly o nosfer o'r fyrdiad, NHS Highland y Third Rydych chi'n cramau i chi i chiwgol nôr yn gyda iawn bufyn. Rydyn ni os ymdegau achos, ac yn guweithio'n ddechrau bod wedi gwneud na gwiaith cwliftu. The national health service of Scotland bethys i chi'n gweithio that the proposals wiil be considered by its board at its meeting on 2 December 2014. Dave Thompson. Well, I thank the cabinet secretary for that answer. I'm sure that he will also be aware that NHS Highland is to suspend the endoscopy services that currently operates on Skry. Ond o bobl yn erioedd gyda'r Ysgrifennu、 Fodol Blynyddiadau Llywodraeth Cymru, sy'n do sculptgylchai Llywodraeth Cymru, diwyddo'r ffasilydd gyda cymdeithas sy'n gwrthog a'i argynniad o'r anhygotu ei ddigon o'r llenig o'r llesgrifetau llosgrifetau llaw, fydd, ein gweithio.  Gysylltu'r LHS Hyland o'r eisiau oedden nhw, o'i dod yn maes gyda'i cyffredin ni'n mynd i gyd. Felly dugon, dy'r ddych chi wedi gweldon nhw fel y bydd gysylltu'r LHS yn mynd i'n edrych am gweithio chi'n gweldon nhw, ac rwy'n defnyddio'n cael ei gael i'r rhai gwybod. Sgrifenni Llywodraeth Cymru yn y ddigon nhw yng Nghymru, a wlad ti'n fyddi i Gwlaffai Gwlad Rhyw bwysig iawn iddynt yn cyfask BIES Cymru, a ddych yn g jailwyr ngynhyrch a gyffredinol y ddych yn gafod gyda chi, oherwydd y gallai cyfask yn ei gweld fath o pethol yn ymgyrch teithasol yn gyfreithio ar hyn iawn, cyfan, yn teithasol yn gyffredinol, ddych am gofyn 4,826 patients to the Golden Jubilee hospital and 4,368 patients to Ross Hall hospital and Nuffield hospital, private health providers on Glasgow in order for the treatment time guarantee to be met. Does that not expose further creeping privatisation within NHS Scotland and highlight that the NHS in Scotland is not safe in the SNP's hands? The member has a bit of a cheek given that the main budget rate challenge for NHS Lanarkshire is the £50 million a year that has to pay in PFI charges, which we inherited from the previous administration. As far as privatisation is concerned, I have made it absolutely clear that the percentage of money that is spent on the private sector in Scotland is well under 1 per cent of the entire near £12 billion budget. Unlike south of the border, where they are privatising NHS staffing and estate and facilities, we are not doing that in Scotland. Where we purchase private sector capacity is because we do not have sufficient capacity in the national health service in a particular area, like the use of Ross Hall for certain procedures by NHS Lanarkshire. That is not privatisation, that is topping up our capacity. To ask the Scottish Government what recent discussions it has had with Her Majesty's Revenue and Customs regarding employment in Scotland. That is not the question that I have on my sheet, Mr Hepburn. It is the question that I have on mine, Presiding Officer. It is the one that I lodged. Can I offer our apologies? That is my sheet that is wrong. Minister, would you like to answer the question, as asked by the member? No formal discussions have taken place with HMRC. That, of course, is a reserved matter. However, I have written to the UK Government expressing our concerns and highlighting our policy of no compulsory redundancies within the Scottish public sector and asking what alternative employment options the UK Government has in place to protect jobs in Scotland. We will continue to support and assist redeployment of staff through existing mechanisms and our directorate officials will liaise with HMRC and monitor the situation. Thank you, Presiding Officer. I am over my brief confusion. HMRC has suggested that it will outsource male room facilities. That threatens some 40 jobs at their location in Cumbernauld. Of course, that is the tip of the iceberg, PCS, suggesting that the HMRC is going to shed thousands of jobs in coming years. Does the minister agree with me that that undermines local economies where HMRC is located, such as in Cumbernauld, and that undermines HMRC's ability to collect tax? I agree with Mr Hepburn, who has pursued the matter assiduously on behalf of his constituents. We understand from HMRC that they say that they will need fewer people in certain roles across the whole of the UK, including post-handling. In June, HMRC announced that it will close two of its five regional postrooms by the end of 2014. We believe that their current thinking is that the remaining three, including Cumbernauld, will close by March 2015. HMRC has said that it will be able to tell its staff more by mid-October. One has to say that this is not really a very good way to handle staff relations, Presiding Officer. In particular, we in the Scottish Government who tried to treat our public servants with appropriate respect would strongly advocate that the UK Government starts to look at the way that it handles matters a bit more carefully, and in particular to adopt the no compulsory redundancy policy of the Scottish Government. I am grateful for Mr Hepburn to allow us an opportunity to make that our position clear. I would express my concern for his constituents who face a very uncertain future. To ask the Scottish Government how investment in hybrid ferries will contribute to its low-carbon targets. The Scottish Government has invested over £20 million to construct two hybrid ferries, the MV Hallig and the MV Lockenvar. Mr Stevenson was involved in his project from its early days and cut the first steel for the MV Hallig in January 2012. The Deputy First Minister announced on 29 September that a third hybrid ferry would be ordered from Ferguson Marine Engineering Ltd. Those low-emission hybrid ferries, built in Scotland, are helping to contribute to the Scottish Government's targets on cutting climate change emissions with initial operational experience indicating around a 28 per cent fuel saving and an associated reduction in carbon emissions. Stuart Stevenson will be very welcome that there is a third hybrid ferry, and I was very pleased to be associated with the previous initiatives. Can the minister tell us what investment is being made into other forms of public transport in Scotland to ensure that targets on carbon emissions are met? The Scottish Government invests over £1 billion per year in public and sustainable transport to encourage people on to public transport and active travel modes. As I mentioned yesterday in the new ScotRail franchise to Abilio, it has committed to a range of carbon saving initiatives, which include at least 3,500 additional cycle parking spaces, £100,000 per annum sustainability, innovation fund and electric car charging points in at least 50 station car parks. In addition, of course, Stuart Stevenson will be aware that we have, since 2010, given over £10 million to support the purchase of 126 green buses. I also welcome the news that the third hybrid ferry has been awarded to Ferguson, so we hope that that goes through everything will be okay there. How can the Scottish Government help to market that innovative vessel wider than the UK market? Clearly, there is a market for those types of ships beyond Scotland. Duncan McNeill raises an important point. How can we make sure that we potentially exploit as far as possible what is a very innovative technology? The best way that we can do that, first of all, is by placing the orders that we have done but also by operating the vessels ourselves, making the reductions in fuel consumption and the environmental benefits that we have. Obviously, there is a piece of work to be done in addition to what has already been done to make sure that the wider world and the market out there is aware of the potential of those vessels and the opportunities that we have opened up for Ferguson's and others to produce more of those vessels in the future. Kenneth Gibson Thank you, Presiding Officer. The minister will be aware that Caledonian Maritime Assets Limited in Caledonia McBrain will place a notice in the official journal of the European Communities this month indicating their plans to order a new address into broadic ferry. Can he confirm that the specification will be for a hybrid ferry that the contract will place in the spring of next year and that it will be well within the capability and capacity of Ferguson's shipbuilders of Port Glasgow to build it? I am afraid that I cannot confirm that the specification will be for a hybrid ferry because we are considering the potential for liquefied natural gas as well, but I can confirm that the contract will be placed in the spring of next year and that it will be well within the capability and capacity of Ferguson's shipbuilders of Port Glasgow to build it. To ask the Scottish Government how it is monitoring proposals for the local government budget savings to ensure that they have no adverse consequences for public safety. Councils are accountable to the local citizens for the work that they do. They are, of course, expected to comply with all legislative and regulatory burdens. Single outcome agreements, SOAs, set out agreed priorities for local areas. Those are progressed by community planning partnerships and provide the framework for community safety partnerships to coordinate a joint agency response to community safety issues. I thank the minister for that response. In that case, does the minister consider that when residents pay their council tax they are fully entitled to adequate and safe street lighting? At the recent proposal from South Lanarkshire Council to de-energise the street lighting in the evening in Castle Avenue, a busy area for joggers, dog walkers and cyclists cannot be justified on those grounds and could be potentially dangerous? I am not fully aware of the full facts of that local authorities current exercise. I am happy to explore it, but, of course, I would expect that public health and safety is foremost in local authorities' minds when they are making budget decisions, although they are also delivering programmes of energy efficiency and decarbonisation of the energy sector. Of course, public interest and safety should be clear in their minds when they are taking such decisions. According to the Scottish Government's own statistics published this weekend, 70,000 posts have disappeared from local authorities since 2008. Can the minister tell the chamber how many of those jobs were related to community safety initiatives? I do not have that information to hand, but what I know is that local government settlements have been fair and local government would certainly agree with that. I think that the fair approach that we have taken with local government has ensured that they have been able to deliver efficiencies in a way that has not led to the mass redundancies that were seen south of the border. Those fair settlements will ensure that local government is equipped to continue delivering the kind of quality services that we would all expect. I ask the Scottish Government whether it is aware of the lack of funding affecting the Men's 10K event in Glasgow run by the Men's Health Forum of Scotland and what it can do to secure the future of the event. The Scottish Government recognises the importance of promoting men's health, and that is why we have provided over £500,000 to Men's Health Forum Scotland between 2007 and 2012. I understand that there have been issues in secure funding for the 2015 Glasgow Men's 10K event. That type of event can be fun and a visible way to promote causes such as better men's health. It is essential, however, that such events are sustainable as well as successful. The Scottish Government provides funding to jog Scotland who have provided expert advice and support to Men's Health Forum Scotland in marketing the 2014 event and organising the associated 5K run. Patrick Harvie Thank you, Presiding Officer. I should declare an interest as having participated in the 10K event for the last few years, along with thousands of other men, the vast majority of whom say that participation in the event has encouraged them to be fit, healthy and active all year round, not just at the event itself. Following the incredible sporting year that we have had in terms of elite sport in Scotland, surely it would be a disaster if, in what would have been the 10th anniversary year of the event, it ceases to exist. I urge the cabinet secretary to explore any options with contact organisations or other potential partners who could secure a future for this event. Good for Patrick Harvie, for taking part. We are well done in a good example. In terms of going forward with the event next year, jog Scotland has been in discussions with the organisation. I am happy to ask my officials to work with jog Scotland to explore with the organisation what options could allow the 2015 and future events to happen, but they have to be sustainable. I think that the organisation has to look at its business case and I think that that is where there have been some on-going discussions with jog Scotland. However, I am happy to ask my officials to meet with jog Scotland with the organisation again and see whether there is anything more that can be done to get the event happening next year. Question 7, Gil Paterson. Thanks, Presiding Officer. Can I ask the Scottish Government how many people have been supported by the protection of funding for the council tax reduction scheme? According to official statistics published on 30 September 2014, 537,730 people in Scotland are currently supported in meeting their council tax liabilities through the council tax reduction scheme. I thank the minister for that answer and say that I welcome measures such as the council tax reduction scheme that the Scottish Government is putting in place to help those in Scotland who are paying a heavy price for the UK Government's welfare reforms. Does the cabinet secretary share my concerns that George Osborne frees in regards to the in-work benefits and the impact that it will have on the working poor in Scotland? Does he agree that control over welfare is something that the Smith commission needs to deliver? The supplement is a bit broader than the question, minister. I can say in response that the attacks on working people this time from the Tory UK Government is of concern, but we would agree essentially with the point that in order to tackle poverty and protect citizens from future cuts, of course we require the powers to be able to do so. In that case, we will of course make to the Smith commission. Presiding Officer, to ask the Scottish Government what its position is and powers relating to gambling being devolved. During the referendum campaign, the Government identified the advantages of this Parliament making decisions on gambling. Many of those advantages would also be realised by devolution of gambling in the Plans Scotland Bill. The Government will be playing a full part in the Smith commission in arguing for extensive devolution of further substantial powers to Scotland in line with the vow made by the UK parties during the referendum. I thank the minister for that response. The minister will be aware of setting the active campaign up and running in relation to fixed dollars betting terminals, and that includes holding a member's debate here in Parliament earlier on this year. Does the minister agree with me that the gambling powers should be devolved to the Scottish Parliament in order to allow for gambling legislation to be created in line with town centre planning policy and for action to be taken in Scotland in a way that currently is not across the UK? Yes, I do. I commend Stuart McMillan's work on this particular issue and to be able to realise the aspirations from many members across the parties in this chamber and our partners in local government and other stakeholders. Does we require the powers around gambling, and that is also a case that it will make to the Smith commission so that we can realise the aspirations to tackle some of the problem of gambling that is experienced in Scotland? To ask the Scottish Government what its position is on the effectiveness of the arrangements relating to the property factors Scotland Act 2011 and its operation. Minister Margaret Burgess The Property Factor Scotland Act 2011 sets minimum standards for the property management industry and provides protections for homeowners who use the services of a property factor. The act requires the Scottish ministers to maintain a register of property factors and requires each factor to be registered with ministers and to abide by a statutory code of conduct. The Scottish Government has put in place arrangements that enable ministers and property factors to comply with their duties under the act. Does the minister believe that there is any flexibility in the system regarding land-owning property factors whereby the owners are the ones on the new housing estate who would be able to decide on the green space ownership and its maintenance? There are provisions in the Title Conditions Scotland Act 2003 on the dismissal and replacement of factors. We are aware that there are potential difficulties in relation to land-owning maintenance companies and, following the Justice Committee's report last year into the effectiveness of the 2003 act, the Scottish Government is preparing a voluntary code of practice on the dismissal and replacement of land-owning land maintenance companies. We intend to consult key bodies in the draft of the code shortly and we will keep the member up to date on that. Thank you. Before we move to the next slide of business, members will wish to join me in welcoming to the gallery His Excellency Mr Pascuali Terracciano, the ambassador of Italy to the United Kingdom.


Thank you for joining us today. I'll be your moderator for today's global innovation through science and technology, or simply just Tech Connect. So when you're at a university, either as a faculty member or a staff, a lot of times in most universities, the university actually owns your intellectual property by way of actually providing you that paycheck. So if you are an undergraduate student, the rules vary within the United States. We have the Bidol Act, which means that undergraduates most times own their own intellectual property. So just keeping that in mind and then to answer the questions specifically, how can universities support that?  If there's not that centric person, then sometimes it's the provost or the vice president for research or innovation. Those kinds of people provide resources as far as who you should talk to to protect your intellectual property. And a lot of protecting your invention is something that most entrepreneurs, especially in the States, spend a lot of time thinking about and worrying about. And just to kind of tag on to Christina's answer, here in Arizona, in addition to a student entrepreneurship program that provides some funding, we also have a small fund that helps those students pay for intellectual property protection and filing those patents. Let's talk a little bit about how universities can set up a framework to commercialize their ideas and their innovations that they've developed on campus. Sure, so we actually have a kind of a five step process and that's kind of our framework. It doesn't have to be linear that you go from step one to two to three, because that's not the life of an entrepreneur. Sometimes it's a bit iterative or jumping around, but we have resources at each one of those steps along the way that we can provide. And that resource could be a program, could be an activity, it could be a funding source, it could be just networking. And so we've kind of identified what needs to happen at a very early stage all the way through what needs to happen at a much later stage when the entrepreneurs are ready to get out into the community and what they're lacking and what they could use. Having a mentorship program that supports anybody who raises their hand and self-identifies I think is a great way to create job creators. On the academic side at our university, we have about 83 different entrepreneurship classes across all disciplines at the university. So offering those electives that are in different departments that have to do with entrepreneurship I think is another great way that the university can support job creators as well as job seekers. Universities I think really love good stories as we just talked about. So if you are an entrepreneur and you're creating jobs and you're creating an economic impact by way of getting grant funding or revenue from sales, that's a great story that the university loves to tell about. And the local government will love that too. And you will get support if you can create that economic impact and can create the value for your business that really speaks for itself. So I think universities want those success stories because they rely on that to show how well they're doing as a way of supporting the new and emerging innovators and entrepreneurs in their community. What I think our role is as a university is to try to help those startups develop the best business model that they can to help them find great technologies or find the right customer segments for those technologies. And also then following up with the companies even after their term in the incubator or in the accelerator is after it's over still following up with them still continuing to mentor them still checking in with them and making sure that they're on the right track. As you ask your administrators to set aside a centralizing point where students can aggregate to find experts of entrepreneurs, mentors and other groups. These types of centralizing functions that involve coffee and humans to interact with them are very, very important to draw people together. Entrepreneurship is a team sport.