The geometric series converges for

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

Problem

The geometric series

\displaystyle\frac{1}{1+x}=\sum_{n=0}^{\infty}(-1)^{n}x^{n}

converges for

|x|<1

. Determine the Maclaurin series (general term) for

\ln(1+x)

and state its radius of convergence.