Suppose That the Radius of Convergence of the Power Series $\sum _ { n = 0 } ^ { \infty } c _ { n } x ^ { n }$

Multiple Choice

Suppose that the radius of convergence of the power series $\sum _ { n = 0 } ^ { \infty } c _ { n } x ^ { n }$ is 9 . What is the radius of convergence of the power series $\sum _ { n = 0 } ^ { \infty } c _ { n } x ^ { 2 n }$ .

A) 252
B) 3
C) 1
D) 256
E) 16