JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1

\lim \limits_{{x \rightarrow 0}}(\cos x+\sin x)^{1 / x}

equals

View answer and explanation

Correct option: A

e

Option A (

e

) is correct because by taking the logarithm and applying L'Hopital's rule, the limit is found to be

e

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\lim \limits_{{x \rightarrow 0}}\left(\frac{1}{x^2}-\operatorname{cosec}^2 x\right)

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