The power series for about is for

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

Problem

The power series for ln⁡(1+x)\ln(1+x) about x=0x=0 is ∑n=1∞(−1)n+1xnn\displaystyle \sum_{n=1}^{\infty}(-1)^{n+1}\dfrac{x^{n}}{n} for ∣x∣<1|x|<1. Obtain a power-series representation for 11+x\dfrac{1}{1+x} and give its general term.

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