Provide an Appropriate Response $\frac { 1 } { 1 - x }$

question 276

Multiple Choice

Provide an appropriate response.
-Derive the series for $\frac { 1 } { 1 - x }$ for $x > 1$ by first writing $\frac { 1 } { 1 - x } = \frac { 1 } { x } \frac { 1 } { 1 - 1 / x }$ .

• A) \(\sum _ { n = 0 } ^ { \infty } \frac { 1 } { x ^ { n + 1 } }\)
• B) \(\sum _ { n = 0 } ^ { \infty } \frac { 1 } { x ^ { n } }\)
• C) \(\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { x ^ { n } }\)
• D) \(\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { x ^ { n + 1 } }\)

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