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Which of the following series diverge?

I. $\displaystyle\sum _{ n=0 }^{ \infty }{ \cfrac { n! }{ { 4 }^{ n } } } $

II. $\displaystyle\sum _{ n=1 }^{ \infty }{ \cfrac { n^{ 5 } }{ { 5 }^{ n } } } $

III. $\displaystyle\sum _{ n=1 }^{ \infty }{ \left( \cfrac { 3n }{ 5n-4 } \right) ^{ n } } $

A

I only.

B

I and II only.

C

I and III only.

D

II and III only.

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