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Find an upper and lower bound

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September 13, 2010
trigonometryalgebra unsolvedalgebra

Problem Statement

The sequence (sn)(s_n), where sn=∑k=1nsin⁡ks_n= \sum_{k=1}^n \sin k for n=1,2,…n = 1, 2,\dots is bounded. Find an upper and lower bound.
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