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Results tagged with continuity
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user 34834
6
votes
3
answers
4k
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On the continuity of $\sum_{n=1}^{\infty} \sin(nx) / n^\alpha$
I know that the series $\sum_{n=1}^\infty \sin(nx) / n^\alpha$, with $0 < \alpha < 1$, converges for $x \in [0,2\pi]$.
I'm trying to understand if the function $f(x) = \sum_{n=1}^\infty \sin(nx) / n^ …
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