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JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1
lim⁡x→π2cot⁡x−cos⁡x(π−2x)3\lim _{x \rightarrow \frac{\pi}{2}} \frac{\cot x-\cos x}{(\pi-2 x)^3} equals :
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Correct option: C
116\frac{1}{16}
Option A (−sin⁡1-\sin 1) is correct because after substituting and simplifying, the limit equals −sin⁡1-\sin 1.

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