Find a Power Series for the Given Function $f ( x ) = \frac { x } { 2 - x }$

Multiple Choice

Find a power series for the given function. $f ( x ) = \frac { x } { 2 - x }$

A) $\sum _ { n = 0 } ^ { \infty } \left( \frac { x } { 2 } \right) ^ { n }$
B) $\sum _ { n = 0 } ^ { \infty } \frac { x ^ { n + 1 } } { 2 }$
C) $\sum _ { n = 0 } ^ { \infty } \frac { x ^ { n + 1 } } { 2 ^ { n + 1 } }$
D) $\sum _ { n = 0 } ^ { \infty } \frac { x ^ { n + 1 } } { 2 ^ { n } }$