Which of the Following Series Converges?
1) $\sum _ { n = 1 } ^ { \infty } \sin \left( \frac { 1 } { n ^ { 2 } } \right)$

Multiple Choice

Which of the following series converges?
1) $\sum _ { n = 1 } ^ { \infty } \sin \left( \frac { 1 } { n ^ { 2 } } \right)$
2) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { \sqrt [ 3 ] { n } }$
3) $\sum _ { n = 1 } ^ { \infty } \left( \frac { 3 n + 1 } { 2 n + 1 } \right) ^ { n }$

A) None
B) 1
C) 2
D) 3
E) 1, 2
F) 1, 3
G) 2, 3
H) 1, 2, 3