Find the Radius of Convergence of the Series $\sum _ { n = 1 } ^ { \infty } \frac { 3 ^ { n } ( x - 2 ) ^ { 2 n + 1 } } { n ! }$

Essay

Find the radius of convergence of the series $\sum _ { n = 1 } ^ { \infty } \frac { 3 ^ { n } ( x - 2 ) ^ { 2 n + 1 } } { n ! }$ .