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Single Variable Calculus

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Alternating Power Series

SVCALC-NYUB8Z

For which of the following values of $p$ is the following series convergent?

$$\sum_{n=1}^\infty \frac{(-1)^n}{n^p}$$

Select ALL that apply.

A

$p=2$

B

$p=1$

C

$p=\cfrac{1}{2}$

D

$p=0$

E

$p=-\cfrac{1}{2}$