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

A

$-2\le x\le 2$

B

$ -2< x <2 $

C

$-1\le x<3$

D

$-1\le x\le 3$

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