How can I prove if f monotone function on an interval then f is measurable on interval?
How do you prove if f is monotone function on an interval then f is measurable on an interval?
How do I prove or disprove the following: f(n) = o(g(x)) implies f(n) = O(g(n))? Is there any meaningful way to compare any two continuous functions in some interval quantitatively? How can I prove that (A × B) − (C × D) = (A − C) × B ∪ A × (B − D)? How do I prove that (A X (B X C)) = B(A.C)-C(A.B)? How can you prove e^πi+1=0? If f(x) = 7 x +12, what is f-1(x) (the inverse function)? How can we prove that C(n,k) = C (n-1,k) +C (n-1,k-1)? If f(x) =7x+12,what is f-1(x) (the inverse function)? Is it possible to mathematically prove that 1=2? Is it possible to prove that 1=3? How can I prove (A × B) − (C × D) = (A − C) × B ∪ A × (B − D)? If I find g such that g'=f, is f Riemann integrable? What is the proof that intensity is directly proportional to the square of amplitude? If n is inversely proportional to m and if n=3.5 when m=2, find the value of m when n =5? How do you prove that for all sets A, B and C, (A∪B) \C = (A\C) ∪ (B \C)? How do I prove 1*(-1) =-1? How do I prove that for all sets A, B, and C, (A - B) - C = (A - B) - (A-C)? How can I prove that A-(A-B) ⊂B? How do you show that a function has at least one solution given a certain interval? If f(x) = 7 x +12, what is f^-1(x) (the inverse function)? If [math] f(2x) = (f(x)) ^4[/math] [math]\forall x [/math]. Also it is known that [math]f(0) = 1 [/math]. Assuming that [math]f(x)[/math] is a continuous function, is it possible to prove that [math]\exp (kx^2)[/math] is the only solution? How do I prove that [math] n^n+1 [/math] is a prime only when n is a power of 2? How do we prove, by induction, the rule of divisibility by 3? How can you prove by induction that 7^n+ 4^n + 1  is divisible by 6, for n = 1, 2, 3, …? F(x) =1/x^3 limit a=0 ,R.H.L=L.H.L but does limit exist or not while conditions are satisfied.also is function continuous? How do you prove that the derivative of an odd function is an even function? How does one prove that 1 = 1? How can you prove that: 1/(1-i) ^2 - 1/(1+i) ^2 = I? Is there any way to prove 1 = 0 practically? Http://imgur.com/dfg9RLY Can you tell me if tell me if the linearity assumption holds for this graph? why or why not?