The value of $\mathop {\lim }\limits_{x \to \infty } {\left( {\frac{\pi }{2} - {{\tan }^{ - 1}}x} \right)^{1/x}}$ is

JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

The value of

\lim\limits_{x \to \infty } {\left( {\frac{\pi }{2} - {{\tan }^{ - 1}}x} \right)^{1/x}}

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Correct option: B

The correct answer is B (1) because the limit evaluates to 1 after applying L'Hopital's rule twice and simplifying the expression.

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