?

AP® Calculus AB-BC

Free Version

Upgrade subject to access all content

Moderate

Determining Divergence

APCALC-JSLYGO

Which of the following series diverge?

I. $\sum _{ n=0 }^{ \infty }{ \cfrac { n! }{ { 4 }^{ n } } } $
II. $\sum _{ n=1 }^{ \infty }{ \cfrac { n^{ 5 } }{ { 5 }^{ n } } } $
III. $\sum _{ n=1 }^{ \infty }{ \left( \cfrac { 3n }{ 5n-4 } \right) ^{ n } } $

A

I only.

B

I and II.

C

I and III.

D

II and III.