Explain How to Use the Geometric Series $g ( x ) = \frac { 1 } { 1 - x } = \sum _ { n = 0 } ^ { \infty } x ^ { n } , | x | < 1 \text { to find the }$

Multiple Choice

Explain how to use the geometric series $g ( x ) = \frac { 1 } { 1 - x } = \sum _ { n = 0 } ^ { \infty } x ^ { n } , | x | < 1 \text { to find the }$ series for the function $\frac { 9 } { 1 + x }$ .

A) replace $x$ with $\frac { 9 } { ( - x ) }$
B) replace $x$ with $( - x )$ and multiply the series by 9
C) replace $x$ with $\frac { 1 } { x }$ and divide the series by 9
D) replace $x$ with $( - x )$ and divide the series by 9
E) replace $x$ with $\frac { 9 } { x }$