MathDB

2

Part of 2010 IberoAmerican Olympiad For University Students

Problems(1)

Power sine series

Source: XIII Ibero American Olympiad For University Students

7/22/2011
Calculate the sum of the series ∑−∞∞sin⁡33k3k\sum_{-\infty}^{\infty}\frac{\sin^33^k}{3^k}.
trigonometrylimitreal analysisreal analysis unsolved