Find the Sum of the Geometric Series for Those X $$\sum _ { n = 0 } ^ { \infty } ( x - 2 ) ^ { n }$$

Multiple Choice

Find the sum of the geometric series for those x for which the series converges.
- $$\sum _ { n = 0 } ^ { \infty } ( x - 2 ) ^ { n }$$

A) $\frac { 1 } { 3 + x }$
B) $\frac { 1 } { 3 - x }$
C) $\frac { 1 } { - 1 + x }$
D) $\frac { 1 } { - 1 - x }$