Determine all values of \(a\) and \(b\) such that \[ \sum_{n=1}^\infty \frac{\sin n^a}{n^b}\] converges.
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2016-14 Convergence of a series,
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Determine all values of \(a\) and \(b\) such that \[ \sum_{n=1}^\infty \frac{\sin n^a}{n^b}\] converges.