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Question

Mathematics Question on Relations and functions

Let f: R→R such that f(1) =3 and f'(1) = 6. Then limx0(f(1+x)f(1))1/x\lim\limits_{x\rightarrow0}\left(\frac{f(1+x)}{f(1)}\right)^{1/x}equals

A

e1/2

B

e2

C

e3

D

1

Answer

e2

Explanation

Solution

The correct answer is(B): e2