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JEE MATHEMATICS MCQ: LIMITS

1 Easy
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Application +4 | -1
If lim⁡n→∞ncos⁡π4nsin⁡π4n=k\lim \limits_{{n \rightarrow \infty}} n \cos \frac{\pi}{4 n} \sin \frac{\pi}{4 n}=k then kk is
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Correct option: A
π4\frac{\pi}{4}
Option A (π4\frac{\pi}{4}) is correct because evaluating the limit using trigonometric identities and limit properties results in π4\frac{\pi}{4}.

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