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Numerade Educator

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Problem 77 Medium Difficulty

Find the sum of the series.

$ \sum_{n = 0}^{\infty} \frac {(-1)^n \pi^{2n + 1}}{4^{2n + 1}(2n + 1)!} $

Answer

$\frac{\sqrt{2}}{2}$

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Video Transcript

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