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Power Serieshard
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Find the sum of ∑n=0∞(−1)nπ2n+142n+1(2n+1)!\sum_{n=0}^{\infty} \frac{(-1)^n \pi^{2n+1}}{4^{2n+1} (2n+1)!}∑n=0∞​42n+1(2n+1)!(−1)nπ2n+1​.