Power Series

Sum to infinity the series:

    \[\frac{1}{2!}-\frac{\pi^{2}}{4^{2}\cdot 4!}+\frac{\pi^{4}}{4^{4}\cdot 6!}-\dots\]

Source: Porter, R.I. (1963). Further Elementary Analysis (2nd ed.). London: G. Bell & Sons. (Examples 3c, Question 20, p. 46)

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

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