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Please help me compute the sum of the series: $$\sin(x)+\sin(2x)+\sin(3x)+\cdots$$

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    Welcome to stack exchange. please consider adding what you've tried, as well as using TeX formatting next time.2012-08-24
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    Why do you think it converges?2012-08-24
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    What happens if $x=0$?2012-08-24
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    At least, it converges when $\quad\large\displaystyle x = n\pi\,,\quad n \in {\mathbb Z}$2014-06-29
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    Possible duplicate of [How can we sum up $\sin$ and $\cos$ series when the angles are in arithmetic progression?](http://math.stackexchange.com/questions/17966/how-can-we-sum-up-sin-and-cos-series-when-the-angles-are-in-arithmetic-pro)2016-03-29

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