Single Variable Calculus

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Radius of Convergence of Power Series II

SVCALC-DLZEYG

Find the radius of convergence of the power series:

$$\sum_{n=0}^\infty \frac{2n}{5^n}x^n$$

A

$\cfrac{1}{5}$

B

$\cfrac{2}{5}$

C

$2$

D

$\cfrac{5}{2}$

E

$5$