Single Variable Calculus

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Interval of Convergence I

SVCALC-JUIVVL

What is the interval of convergence of the power series:

$$\sum_{n=1}^\infty \frac{3^n}{n^2} x^n$$

A

$\left(-\cfrac{1}{3},\cfrac{1}{3}\right)$

B

$\Big(-\cfrac{1}{3},\cfrac{1}{3}\Big]$

C

$\Big[-\cfrac{1}{3},\cfrac{1}{3}\Big)$

D

$\left[-\cfrac{1}{3},\cfrac{1}{3}\right]$