For the series _ n=1 ^ 2^ n ,(x+1)^ n n

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

Problem

For the series

\sum_{n=1}^{\infty} \frac{2^{n}\,(x+1)^{n}}{n},

find the open interval of values of

x

for which the series converges absolutely.