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Which of the following series converge?

I. $\ \ \ \sum _{ n=1 }^{ \infty }{ \cfrac { { 4 }^{ n } }{ { 5 }^{ n } } } $
II. $\ \ \sum _{ n=0 }^{ \infty }{ \cfrac { 3n+5 }{ 4n+1 } } $
III. $\ \sum _{ n=1 }^{ \infty }{ ( -1 ) } ^{ n }$

A

I only

B

III only

C

I and III

D

II and III

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