Compute the sum \(\sum _ { n = 1 } ^ { \infty } { \frac { x ^ { n - 1 } } { n ( n + 1 ) } }\) for all possible values of x.
$\sum_{n\ge1}\frac{x^{n-1}}{n(n+1)}$
P-TRIV-RA54
- Area
- Real Analysis
- Status
- draft
P-TRIV-RA54
Compute the sum \(\sum _ { n = 1 } ^ { \infty } { \frac { x ^ { n - 1 } } { n ( n + 1 ) } }\) for all possible values of x.