Evaluate the following limits \( \mathrm{P} \) \[ \lim _{n \rightar...

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Evaluate the following limits
\( \mathrm{P} \)
\[
\lim _{n \rightarrow \infty} \frac{1}{n^{2}}\left[\sin ^{3} \frac{\pi}{4 n}+2 \sin ^{3} \frac{2 \pi}{4 n}+\ldots \ldots+n \sin ^{3} \frac{n \pi}{4 n}\right]
\]
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