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

question 118

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 \(\frac { 9 } { x }\)

---

Definitions:

Positive Attitudes

Feelings or opinions that involve a favorable view towards something or tendency to expect good outcomes.

Indifference

A state of neutrality or lack of interest, concern, or emotional investment in a particular issue, outcome, or object.

Language Acquisition

The process by which humans acquire the capacity to perceive, produce, and understand language.

Literacy

The ability to read and write at a level that allows an individual to function and communicate effectively in society.