$\lim _\limits{x \rightarrow 0}\left(x^n \log _e x\right)$ is

does not exists either finitely or infinitely

JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1

\lim \limits_{{x \rightarrow 0}}\left(x^n \log _e x\right)

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Correct option: C

The correct answer is C (0) because rewriting the expression and applying L'Hôpital's rule yields the value 0.

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