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

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) $0 < x < \frac { 1 } { 9 }$