Please help me compute the sum of the series: $$\sin(x)+\sin(2x)+\sin(3x)+\cdots$$
Sum of series $\sin x + \sin 2x + \sin 3x + \cdots $
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sequences-and-series
analysis
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4Welcome 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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7Why do you think it converges? – 2012-08-24
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2What happens if $x=0$? – 2012-08-24
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1At least, it converges when $\quad\large\displaystyle x = n\pi\,,\quad n \in {\mathbb Z}$ – 2014-06-29
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0Possible 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