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Determine the set of real numbers x for which the following series diverges

$$\sum_{n=1}^{\infty}\left(\frac{1}{n}\csc\frac{1}{n}-1\right)^x$$

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    Sorry for the ignorance, but what does CSC means?2011-11-30
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    @ofer: cosecant, $$\csc (x) = \frac{1}{\sin (x)}.$$2011-11-30

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