Question: sum _{n=0}^{infty }:frac{left(-1 ight)^{n+1}n!}{1cdot 3cdot 5cdot ...cdot left(2n+1 ight)}

\sum _{n=0}^{\infty }\:\frac{\left(-1 ight)^{n+1}n!}{1\cdot 3\cdot 5\cdot ...\cdot \left(2n+1 ight)}

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