# Direction: Show all work for the following questions. If applicable, round to the nearest hundredth and circle all finalanswers.(10 pts) Use the limit definition of a derivative to find the slope of the tangent line of the functionf(x) x2-1.x 2 at x3.Find f'(x) for the following functions using the shortcuts we have learned thus far.2.f(x)=e-x.а.b. f(x) 2x +f(x)=2-9xC.XEvaluate each limit. If applicable, state why the limit doesn't exist.3.x2+5x+10limа.1x-1t2-9t+14b. limt--2(t-2)3x2limС.x-2 (x+2)(x-3)Зx24. Answer the following parts for the function f (x) (x+2)(x-3)Find the holes for f(x):a.Find any vertical asymptotes for f (x) (if any):b.Find any horizontal asymptotes (if any):С.Find the end behavior for f(x):d.n

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Step 1

Question No. 2

Part a

Given,

Step 2

Part b

Given,

Step 3

Part c

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