Let be such that and

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

Let

f:\mathbb{R}\to\mathbb{R}

be such that

f(0)=3

and

f'(0)=6

. Then

\lim_{x\to0}\left[\frac{f(x)}{f(0)}\right]^{1/x}

equals (1) 1 (2)

e^2

(3)

e^3

(4)

e^4

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