JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

\lim \limits_{{x \rightarrow 1}}\left[\tan \left(\frac{\pi}{4}+\log x\right)\right]^{\frac{1}{\log x}}

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Correct option: D

\mathrm{e}^2

Option D (

e^2

) is correct because by applying L'Hôpital's Rule after transforming the limit into an exponential form, the limit evaluates to

e^2

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\lim \limits_{{x \rightarrow \infty}} x\left(e^{1 / x}-1\right)

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