JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

f(x)

is differentiable and

f^{\prime}(0) \neq 0

, then the value of

\lim _{x \rightarrow 0} \frac{f\left(x^2\right)-f(x)}{f(x)-f(0)}

View answer and explanation

Correct option: C

-1

Option C (-1) is correct because after applying L'Hôpital's rule, the limit simplifies to -1, given that f'(0) is not zero.

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