JEE MATHEMATICS MCQ: LIMITS

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\lim \limits_{{x \rightarrow a}} \frac{x^a-a^x}{x^x-a^a}

equals

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Correct option: A

\frac{1-\log a}{1+\log a}

Option A ((1-log a)/(1+log a)) is correct because after applying L'Hôpital's rule, the limit simplifies to (1-log a)/(1+log a).

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