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find-n-1-z-n-sin-n-n-with-z-from-C-and-z-lt-1-




Question Number 33586 by abdo imad last updated on 19/Apr/18
find  Σ_(n=1) ^∞  z^n   ((sin(nθ))/n)  with z from C and ∣z∣<1 .
$${find}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} \:{z}^{{n}} \:\:\frac{{sin}\left({n}\theta\right)}{{n}}\:\:{with}\:{z}\:{from}\:{C}\:{and}\:\mid{z}\mid<\mathrm{1}\:. \\ $$

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