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Question Number 31964 by abdo imad last updated on 17/Mar/18

1)find  S_n   = Σ_(k=0) ^n   C_n ^k  sin((k/n))  2) study the convergence of S_n

$$\left.\mathrm{1}\right){find}\:\:{S}_{{n}} \:\:=\:\sum_{{k}=\mathrm{0}} ^{{n}} \:\:{C}_{{n}} ^{{k}} \:{sin}\left(\frac{{k}}{{n}}\right) \\ $$$$\left.\mathrm{2}\right)\:{study}\:{the}\:{convergence}\:{of}\:{S}_{{n}} \\ $$

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