Find the Values of X for Which the Geometric Series $$\sum _ { \mathrm { n } = 0 } ^ { \infty } 5 ^ { \mathrm { n } } \mathrm { x } ^ { \mathrm { n } }$$

question 340

Multiple Choice

Find the values of x for which the geometric series converges.
- $$\sum _ { \mathrm { n } = 0 } ^ { \infty } 5 ^ { \mathrm { n } } \mathrm { x } ^ { \mathrm { n } }$$

• A) \(| x | < 5\)
• B) \(| x | < \frac { 1 } { 5 }\)
• C) \(| x | < 1\)
• D) \(| x | < 10\)

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