Which of the Following Three Tests Will Establish That the Series

Multiple Choice

Which of the following three tests will establish that the series $\sum _ { n = 1 } ^ { \infty } \frac { n } { \sqrt { 7 n ^ { 3 } + 46 } }$ diverges?
1) Limit Comparison Test with $\sum _ { n = 1 } ^ { \infty } n ^ { - 1 }$
2) Comparison Test with $\sum _ { n = 1 } ^ { \infty } n ^ { - 1 }$
3) Comparison Test with $\sum _ { n = 1 } ^ { \infty } n ^ { - 1 / 2 }$

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