The value of $\mathop {\lim }\limits_{x \to {0^ + }} {x^m}{\left( {\log x} \right)^n},m,n.{\rm{ }}N$ is

JEE MATHEMATICS MCQ: LIMITS

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The value of

\lim\limits_{x \to {0^ + }} {x^m}{\left( {\log x} \right)^n},m,n.\mathrm{ }N

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Correct option: A

Option A (0) is correct because by applying L'Hopital's rule repeatedly, the limit evaluates to 0 as x approaches 0 from the positive side.

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