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Which of the following infinite series converge(s)?

I. $\sum _{n= 1 }^{ \infty }{ \dfrac { { 2 }^{ n } }{ n! } } $

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

III. $\sum _{ n=1 }^{ \infty }{ \dfrac { { 2 }{ n }^{ 3 } }{ { n }^{ 4 }+1 } } $

A

I only.

B

II only.

C

I and III only.

D

III only.

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