$\text { Identify the interval of convergence of a power series } \sum _ { n = 1 } ^ { \infty } ( - 9 ) ^ { n } x ^ { 2 n } \text {. }$

question 155

Multiple Choice

$\text { Identify the interval of convergence of a power series } \sum _ { n = 1 } ^ { \infty } ( - 9 ) ^ { n } x ^ { 2 n } \text {. }$

• A) \(- \frac { 1 } { 3 } < x < \frac { 1 } { 3 }\)
• B) \(0 < x < \frac { 1 } { 3 }\)
• C) \(- \frac { 1 } { 9 } < x < \frac { 1 } { 9 }\)
• D) \(- \frac { 1 } { 9 } < x < 0\)
• E) \(0 < x < \frac { 1 } { 9 }\)

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