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AP® Calculus AB-BC

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Difficult

Determine Convergence

APCALC-EZID41

Which of the following series converge?

A

$\sum _{ n=1 }^{ \infty }{ \cfrac { { ( -3 ) }^{ n } }{ 3\cdots 5\cdot 7\cdot \cdots ( 2n+1 ) } } $

B

$\sum _{ n=1 }^{ \infty }{ \cfrac { { ( -1 ) }^{ n }{ 3 }^{ n-1 } }{ { 2 }^{ n } } } $

C

$\sum _{ n=1 }^{ \infty }{ { \left( \cfrac { 2\pi }{ 5 } \right) }^{ n } } $

D

$\sum _{ n=1 }^{ \infty }{ \cfrac { 2 }{ n } } $