Find the radius of convergence and the interval of convergence of the power series. $\sum _ { n = 0 } ^ { \infty } \frac { x ^ { n } } { n + 2 }$
A) $R = 2 , I = [ - 2,2 )$
B) $R = 1 , I = ( - 1,1 )$
C) $R = 1 , I = [ - 1,1 )$
D) $R = 2 , I = ( - 2,2 )$

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The Answer of Find the radius of convergence and the interval of convergence of the power series. $\sum _ { n = 0 } ^ { \infty } \frac { x ^ { n } } { n + 2 }$
A) $R = 2 , I = [ - 2,2 )$
B) $R = 1 , I = ( - 1,1 )$
C) $R = 1 , I = [ - 1,1 )$
D) $R = 2 , I = ( - 2,2 )$

Find the Radius of Convergence and the Interval of Convergence ∑n=0∞xnn+2\sum _ { n = 0 } ^ { \infty } \frac { x ^ { n } } { n + 2 }∑n=0∞​n+2xn​

Find the Radius of Convergence and the Interval of Convergence $\sum _ { n = 0 } ^ { \infty } \frac { x ^ { n } } { n + 2 }$