# I. Consider the function f(x) 4/x2. a) Find the domain of f(x). b) Find f'() using the limit definition of the derivative. c) Where is f(x) differentiable? 2. Find all horizontal and vertical asymptotes of the following functions. Be sure to label the asymptotes correctly a) ()33z-1 2 (b) g(x) = tan-1 (2) c) h(x)-T2-92-112-3 --12 1 3. Evaluate the following limits. 2-2x-3 b) lim,ーナー0。6a3+2+16 c) lim,--0 f(x) , where f(x)-(2 x = 0 0 sin(x) V2+1+3c d) limx-W--5x . Find an equation of the tangent line to the function f(x) = Va2+16 at the point (3,5). (You N

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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