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AP® Calculus AB-BC

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Moderate

Comparing Series

APCALC-IEJLKN

Which of the following series converge?

I. $\quad \sum _{ n=1 }^{ \infty }{ \cfrac { 5 }{ 2n+3 } } $
II. $\quad \sum _{ n=1 }^{ \infty }{ \cfrac { n }{ { 2n }^{ 2 }+3 } } $
III. $\quad \sum _{ n=1 }^{ \infty }{ \cfrac { n }{ { n }^{ 5 }+1 } } $

A

I only.

B

II only.

C

III only.

D

I and II.