Use the Direct Comparison Test to Determine the Convergence or Divergence

Multiple Choice

Use the Direct Comparison Test to determine the convergence or divergence of the series $\sum _ { n = 1 } ^ { \infty } \frac { 7 n } { \left( n ^ { 2 } + 7 \right) ^ { 2 } }$ .

A)
The series $\sum _ { n = 1 } ^ { \infty } \frac { 7 n } { \left( n ^ { 2 } + 7 \right) ^ { 2 } }$ diverges.
B)
The series $\sum _ { n = 1 } ^ { \infty } \frac { 7 n } { \left( n ^ { 2 } + 7 \right) ^ { 2 } }$ converges.