Assume the function g satisfies the inequality a cos(x - a)< g(x)<(x-a)² +a 2. for all values of x near a where a is a positive constant. Find lim g(x). х-эа A) lim g(x) = 0 хэа lim g(x) =1 B) х—эа C) lim g(x)= ∞ х-эа lim g(x) = a D) хэа

Q: sinh(x)-sin(x) Find lim

A:

Q: / Find Lim X. tan' 2 X X-100

A:

Q: Let f(x) = x² + 3x – 2 f(x) – f(1) a) Find lim x- 1 x+ 1 b) Use your answer in part (a) to find an…

A:

Q: Find the absolute f(x) = extrema of x + 4x + 2

A:

Q: f(x+h)-f(x) Given a function f(x),the derivative is given by f(x) = lim h-0 Let f(x)=V 3x-2 be a…

A: The derivative of a function is defined as, f'x=limh→0fx+h-fxh The function is given as, fx=3x-2 It…

Q: 3sin(x) lim tan(2x)

A:

Q: 3 We want to sketch the function f(x) = 2 + Note that f'(z) = State the domain of f(z). Domain:…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: You are given two functions, f and g if - 2 1+

A:

Q: Consider the function f(x) = x=-1. Then, the lim,-→1+ ƒ(x) exists. Find lim,1+ f(x). x→1+

A:

Q: I feel confident about one of my answers but not sure. Can you help me solve number 1 a-c. Thanks

A: a)Given function is f(x)=x^2+3By defintion , f'(x) can be evaluated as

Q: x + sin x 5. lim x 2x + 5

A: We have to solve:      limx→∞x+sin x2x+5

Q: Suppose that while waiting for a big wave, a surfer is being propelled toward the beach in such a…

A:

Q: Find lim tanx-x x2 sinx X

A:

Q: e2h-1 if f'(a) lim-0 what is f(r) and what is a? h

A:

Q: Find lim x→-3 sin(−4 π x)   lim x→-3 sin(−4 π x)

A:

Q: エ→2ー Prove that lim sin(1/x) does not exist. Lot II

A:

Q: Starting from the first principles (lim x->a f(x) - f(a) / x - a = lim h -> 0 f(x+h) - f(x) / h),…

A: Note:- according to the company policy we attempt only one question so please upload the next…

Q: 1 + (a) Lim X-1 'x+1, -2

A:

Q: sin2x Q30.a) Find lim X-0 x2

A:

Q: Evaluate lim w/ e 1- sin C x)

A: First , evaluate the limit. limx→∞ex3−1sin1x=limx→∞ex3−1limx→∞sin1x=e∞3−1sin1∞=e∞−1sin0=∞−10=∞0…

Q: x-sin x b) lim x3

A: For the given    is calculated using expansion of sin x as shown  below