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AP® Calculus AB-BC

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Moderate

Comparing Series

APCALC-EROKEI

Which of the following series converge?

I. $\displaystyle \sum_{n=0}^{\infty }\sin(n)$
II. $\displaystyle \sum_{n=1}^{\infty }\left (\cfrac{n+1}{n} \right )^{n}$
III. $\displaystyle \sum_{n=0}^{\infty }\left ( -\cfrac{2}{3} \right )^{n+1}$

A

II only.

B

III only.

C

I and II.

D

II and III.