The value of $\mathop {\lim }\limits_{x \to 0} {\left( {\cos x} \right)^{{{\cot }^2}x}}$ is

JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1

The value of

\lim\limits_{x \to 0} {\left( {\cos x} \right)^{{{\cot }^2}x}}

View answer and explanation

Correct option: B

{e^{\frac{{ - 1}}{2}}}

Option B (

{e^{\frac{{ - 1}}{2}}}

) is correct because it is the result of evaluating the limit using L'Hopital's rule or standard limit approximations.

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