JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

S_n=\left(1-\tan ^4 \frac{\pi}{2^3}\right)\left(1-\tan ^4 \frac{\pi}{2^4}\right) \ldots\left(1-\tan ^4 \frac{\pi}{2^n}\right) .

The value of

\lim \limits_{{n \rightarrow \infty}} S_n

, is

View answer and explanation

Correct option: C

\frac{\pi^3}{32}

Option C (

\frac{\pi^3}{32}

) is correct because the limit of the given product is evaluated using trigonometric identities and limit properties.

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