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
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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
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