?

Single Variable Calculus

Free Version

Upgrade subject to access all content

Easy

Interval of Convergence III

SVCALC-DRLY8Z

What is the interval of convergence of the power series:

$$\sum_{n=1}^\infty \frac{(-4)^n}{n} x^{2n}$$

A

$\left(-\cfrac{1}{2},\cfrac{1}{2}\right)$

B

$\left(-\cfrac{1}{2},\cfrac{1}{2}\right]$

C

$\left[-\cfrac{1}{2},\cfrac{1}{2}\right)$

D

$\left[-\cfrac{1}{2},\cfrac{1}{2}\right]$