Question

Can you help me answer question 2?

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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Transcribed Image Text: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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