JEE MATHEMATICS MCQ: LIMITS

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\lim \limits_{{x \rightarrow 0}}\left(\frac{\pi}{4 x}-\frac{\pi}{2 x\left(e^{\pi x}+1\right)}\right)

equals

View answer and explanation

Correct option: D

\frac{\pi^2}{8}

Option D (

\frac{\pi^2}{8}

) is correct because after simplifying the expression and applying L'Hôpital's rule, the limit evaluates to

\frac{\pi^2}{8}

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