Find the Interval of Convergence Of $\sum _ { n = 0 } ^ { \infty } \frac { ( - 3 x ) ^ { n } } { 3 n + 1 }$

question 120

Multiple Choice

Find the interval of convergence of $\sum _ { n = 0 } ^ { \infty } \frac { ( - 3 x ) ^ { n } } { 3 n + 1 }$ .

• A) \(\left( - \frac { 1 } { 3 } , \frac { 1 } { 3 } \right)\)
• B) \(\left( - \frac { 1 } { 3 } , \frac { 1 } { 3 } \right]\)
• C) \(\left[ - \frac { 1 } { 3 } , \frac { 1 } { 3 } \right)\)
• D) \(\left[ - \frac { 1 } { 3 } , \frac { 1 } { 3 } \right]\)
• E) \(( - 3,3 )\)
• F) \(( - 3,3 ]\)
• G) \([ - 3,3 )\)
• H) \([ - 3,3 ]\)

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