Upgrade subject to access all content

Find all values of $x$ for which the series $\sum _{ n=1 }^{ \infty }{ \frac { \left( x-1 \right) ^{ n } }{ n\cdot { 2 }^{ n } } } $ converges.

$-2\le x\le 2$

$ -2< x <2 $

$-1\le x<3$

$-1\le x\le 3$