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Problem 7.22

6 十一月, 2015 - 16:21

For what integer values of p should we expect the series \sum_{n=1}^{\infty }\frac{\mid cosn\mid ^{n}}{n^{p}}to converge? A rigorous proof is very difficult and may even be an open problem, but it is relatively straightforward to give a convincing argument. Solution, p. 195