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AP® Calculus AB-BC

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Moderate

Converging Series

APCALC-EIYHWY

Which of the following series converge?

I. $\quad \sum _{ n=2 }^{ \infty }{ \cfrac { 1 }{ n\ln { n } } } $
II. $\quad \sum _{ n=1 }^{ \infty }{ \cfrac { 1 }{ \sqrt [ 5 ]{ { n }^{ 3 } } } } $
III. $\quad \sum _{ n=1 }^{ \infty }{ { ne }^{ { -n }^{ 2 } } } $

A

I only.

B

II only.

C

III only.

D

I and III.