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If sn, be the sum of n terms of the ser...

If `s_n`, be the sum of n terms of the series, `sin x + sin 2x + sin 3x +..... + sin nx` then show that `Limit_(n->oo) (s_1 + s_2 + ...... + s_n)/n=1/2 cot(x/2) (x != 2 k pi , k in I)`

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