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Question 1
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The value of $\displaystyle \lim_{n\to\infty} \frac{\pi}{n}\left[\sin\frac{\pi}{n}+\sin\frac{2\pi}{n}+\cdots+\sin\frac{(n-1)\pi}{n}\right]$ is:
A.
0
B.
$\pi$
C.
2
D.
$\dfrac{\pi}{2}$
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