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AP® Calculus AB-BC

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Difficult

Diverging Series

APCALC-UEUBEK

Determine which series diverge:

I. $\ \ \ \sum _{ n=1 }^{ \infty }{ \cfrac { \sqrt { { n }^{ 2 }+5 } }{ n } } $

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

III. $\ \sum _{ n=0 }^{ \infty }{ { e }^{ n } } $

A

I only.

B

II only.

C

I and III.

D

II and III.