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Which of the following series converge?

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

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

III.$ \sum _{ n=1 }^{ \infty }{ \cfrac { 1 }{ \sqrt { n } } } $

A

I only.

B

I and II only.

C

II and III only.

D

I, II, and III.

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