JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

\lim \limits_{{n \rightarrow \infty}}\left(1+\frac{1}{n^2}\right)^{\frac{8 n^3}{\pi} \sin \left(\frac{\pi}{2 n}\right)}

is equal to

View answer and explanation

Correct option: B

e^4

Option B (

e^4

) is correct because by manipulating the limit into the form of

e

, the expression simplifies to

e^4

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