anonymous 5 years ago sum the power series x + sum (-1)^-n (1.3.5....(2n-1)/2.4.6...2n.(2n+1)) x^(2n+1) where n goes from 0 to infinity and absolute(x) < 1.

1. anonymous

it is same as $x + \sum_{0}^{\infty} (-1)^{n} x ^{2n+1}((1.3.5....(2n-1))\div(2.4.6....2n.(2n+1)))$ where $\left| x \right| < 1$ and $x \in R$

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