JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Application +4 | -1

f(1)=1

and

f^{\prime}(1)=4

, then the value of

\lim _{x \rightarrow 1} \frac{\sqrt{f(x)}-1}{\sqrt{x}-1}

View answer and explanation

Correct option: B

Option B (4) is correct because by applying L'Hôpital's rule, the limit simplifies to

\frac{{f'(1)}}{{1 / (2 \sqrt{{1}})}} = \frac{{4}}{{1/2}} = 4

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