Use the Comparison Test to Determine Whether the Infinite Series $\sum _ { k = 1 } ^ { \infty } \frac { k ^ { 2 } } { k + k ^ { 2 } + k ^ { 5 / 2 } }$

Short Answer

Use the comparison test to determine whether the infinite series $\sum _ { k = 1 } ^ { \infty } \frac { k ^ { 2 } } { k + k ^ { 2 } + k ^ { 5 / 2 } }$ is convergent or divergent.
Enter just "convergent" or "divergent".