Use the Integral Test to Determine Whether the Infinite Series $\sum _ { k = 1 } ^ { \infty } \frac { 1 } { k \sqrt { k } }$

Short Answer

Use the integral test to determine whether the infinite series $\sum _ { k = 1 } ^ { \infty } \frac { 1 } { k \sqrt { k } }$ is convergent or divergent.
Enter just the word "divergent" or "convergent".