Question
Asked Oct 11, 2019
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Hi, I need an explanation for question #38 in the picture attached, please. 

37-42 Each limit represents the derivative of some function f at
some number a. State such anf and a in each case.
-2+h-e2
9 + h-3
e
38. lim
h-0
37. lim
h-0
h
h
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37-42 Each limit represents the derivative of some function f at some number a. State such anf and a in each case. -2+h-e2 9 + h-3 e 38. lim h-0 37. lim h-0 h h

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Expert Answer

Step 1

Consider the given limit.

-2+h
lim
h
0
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-2+h lim h 0

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Step 2

On taking e-2 common from the numerator

(e-1)
lim
h
h 0
(e-1
e lim
h
h0
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(e-1) lim h h 0 (e-1 e lim h h0

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Step 3

Formula us...

e
e -1
1
lim
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e e -1 1 lim

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Tagged in

Math

Calculus

Limits