For each of the following, determine if the series converges. Be sure that you can rigorously demonstrate your answer!

A. $\sum\limits_{n=5}^{\infty} {n + 5\over n^2 + 10 n + 2}$
This sum
A. converges
B. diverges

B. $\sum\limits_{n=5}^{\infty} {n^{2}\over n^{6} + 4 n^{3} + 4}$
This sum
A. converges
B. diverges

C. $\sum\limits_{n=1}^{\infty} {2\over (5 n - 1)^{3}}$
This sum
A. converges
B. diverges

D. $\sum\limits_{n=1}^{\infty} {n + 5^n\over n 5^n}$
This sum
A. converges
B. diverges