Which One of the Following Series Diverge?
A) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ( 2 n + 1 ) }$

Multiple Choice

Which one of the following series diverge?

A) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ( 2 n + 1 ) }$
B) $\sum _ { n = 1 } ^ { \infty } \frac { 2 n } { n + 1 }$
C) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { ( n + 1 ) ( n + 3 ) }$
D) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { 3 ^ { n } }$
E) $\sum _ { n = 1 } ^ { \infty } \frac { n - 2 } { n 2 ^ { n } }$
F) $\sum _ { n = 1 } ^ { \infty } \frac { 2 n } { n ! }$
G) $\sum _ { n = 1 } ^ { \infty } \frac { n ^ { 100 } } { n ! }$
H) $\sum _ { n = 1 } ^ { \infty } \frac { n ^ { 100 } } { 2 ^ { n } }$