Identify the Interval of Convergence of a Power Series $\sum _ { n = 1 } ^ { \infty } ( - 3 ) ^ { n } n x ^ { n - 1 }$

question 6

Multiple Choice

Identify the interval of convergence of a power series
$\sum _ { n = 1 } ^ { \infty } ( - 3 ) ^ { n } n x ^ { n - 1 }$

• A) \(- 3 < x < 3\)
• B) \(- 1 < x < 1\)
• C) \(- \frac { 1 } { 3 } < x < \frac { 1 } { 3 }\)
• D) \(0 < x < 3\)
• E) \(- \frac { 1 } { 6 } < x < \frac { 1 } { 6 }\)

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