The power series converges for

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

The power series ∑n=0∞(−1)nx2n+12n+1\displaystyle \sum_{n=0}^{\infty} \frac{(-1)^n x^{2n+1}}{2n+1} converges for ∣x∣<1|x|<1. Determine the elementary function to which this series converges on that interval.

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