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Find the Radius of Convergence of the Power Series n=0(5x)2n(2n)!\sum _ { n = 0 } ^ { \infty } \frac { ( 5 x ) ^ { 2 n } } { ( 2 n ) ! }

Question 34

Multiple Choice

Find the radius of convergence of the power series. n=0(5x) 2n(2n) !\sum _ { n = 0 } ^ { \infty } \frac { ( 5 x ) ^ { 2 n } } { ( 2 n ) ! }


A) 0
B) 5
C) 10
D) 25
E) \infty

Correct Answer:

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