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Question Number 60677 by maxmathsup by imad last updated on 24/May/19
$${let}\:{S}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:{sin}\left(\frac{{k}^{\mathrm{2}} \pi}{{n}^{\mathrm{3}} }\right)\:\:{determine}\:{lim}_{{n}\rightarrow\infty} \:\:{S}_{{n}} \\ $$