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

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) $[ - 3,3 ]$

Correct Answer:

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