?

AP® Calculus AB-BC

Free Version

Upgrade subject to access all content

Difficult

Choosing Converging Series

APCALC-LJLDMK

Which of the following series converges?

I. $\sum _{ n=1 }^{ \infty } \cfrac { n }{ \ln { n } } $
II. $\displaystyle\sum_{n=1}^{\infty }\cfrac{3}{5^{n}} $
III. $\displaystyle\sum_{n=1}^{\infty }\left(\cfrac{1}{n+2}-\cfrac{1}{n+3}\right) $

A

I only.

B

II only.

C

I and II.

D

II and III.