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The value of $lim_{n \to \infty} \frac{1}{n} (\sin \frac{π}{n} + \sin \frac{2 π}{n} + \dots + \sin \frac{n π}{n})$ is

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-π2

1π

2π

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Correct option is D

Read. limit=limn→∞ 1n∑n=1n sin⁡rπn =∫01 sin⁡πxdx=−cos⁡πxπ01=−1π[−1−1]=2π

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The value of limn→∞ 1nsin⁡πn+sin⁡2πn+⋯+sin⁡nπn is

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The value of $lim_{n \to \infty} \frac{1}{n} (\sin \frac{π}{n} + \sin \frac{2 π}{n} + \dots + \sin \frac{n π}{n})$ is