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JEE MATHEMATICS MCQ: LIMITS

1 Easy
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Analyzing +4 | -1
If lim⁡x→0xnsin⁡nxxn−sin⁡nx\lim \limits_{{x \rightarrow 0}} \frac{x^n \sin ^n x}{x^n-\sin ^n x} is non-zero finite, then nn is equal to
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Correct option: B
2
Option B (2) is correct because after applying L'Hopital's rule multiple times, the limit becomes finite and non-zero only when n=2.

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