Find the Values of X for Which the Series $\sum _ { n = 1 } ^ { \infty } ( x - 1 ) ^ { n }$

Multiple Choice

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

A) $0 < x \leq 2$
B) $- 2 \leq x < 0$
C) $- 2 < x \leq 0$
D) $0 \leq x < 2$
E) $- 2 < x < 0$
F) $0 < x < 2$
G) $0 \leq x \leq 2$
H) $- 2 \leq x \leq 0$