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

question 11

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) \(\sum _ { n = 0 } ^ { \infty } \frac { x ^ { n + 1 } } { 2 ^ { n } }\)

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