JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

\lim \limits_{{x \rightarrow \pi / 2}} \frac{(1-\tan x / 2)(1-\sin x)}{(1+\tan x / 2)(\pi-2 x)^3}

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Correct option: D

\frac{1}{32}

Option D (1/32) is correct because the limit is evaluated using trigonometric identities and substitution, resulting in 1/32.

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