?

AP® Calculus AB-BC

Free Version

Upgrade subject to access all content

Difficult

Sum To Infinity

APCALC-LB8XW5

The sum to infinity of the series:

$$\sum _{ n=0 }^{ \infty }{ \cfrac { ( -1 ) ^{ n } }{ 2n+1 } } $$

A

$\cfrac{\pi}{2}$

B

$\cfrac{\pi}{4}$

C

$\pi$

D

$\cfrac{\pi}{8}$