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JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1
lim⁡x→0(1x2−cosec⁡2x)\lim \limits_{{x \rightarrow 0}}\left(\frac{1}{x^2}-\operatorname{cosec}^2 x\right) is equal to
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Correct option: C
−13\frac{-1}{3}
Option C (−13\frac{-1}{3}) is correct because after rewriting the expression and applying L'Hôpital's rule multiple times, the limit evaluates to −13\frac{-1}{3}.

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