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April 19th, 2017, 12:24 PM   #1
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Does series converge?

$\displaystyle \sum_{i=1}^{\infty} \frac{\sin n^3 x}{n^2}$
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April 19th, 2017, 12:59 PM   #2
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note ...

$\bigg|\dfrac{\sin(n^3 x)}{n^2}\bigg| \le \dfrac{1}{n^2}$
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