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AP® Calculus AB-BC

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Moderate

Diverging Series 2

APCALC-SGEJWV

Which of the following series diverge?

I. $\sum _{ n=1 }^{ \infty }{ \cfrac { 5 }{ { 5n }^{ 2 }-10 } } $

II. $\sum _{ n=2 }^{ \infty }{ \cfrac { 3 }{ \sqrt { n } +2 } } $

III. $\sum _{ n=1 }^{ \infty }{ \sin { n } } $

A

I only.

B

II only.

C

I and II.

D

II and III.