JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Application +4 | -1

Let

f: R \rightarrow R

be such that

f(1)=3

and

f^{\prime}(1)=6

.
Then,

\lim \limits_{{x \rightarrow 0}}\left\{\frac{f(1+x)}{f(1)}\right\}^{1 / x}

equals

View answer and explanation

Correct option: C

e^2

Option C,

e^2

, is correct because it is the result of recognizing the limit as an exponential limit and using the definition of the derivative.

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