calculus - Determine whether conditional or absolute convergence. Or if it diverges

Given the following series:

$\displaystyle\sum_{k=1}^{\infty}\frac{(-1)^k\arctan k}{k^3}$

Determine if the series diverges or converges. If it does converge, decide if it is absolute or conditional convergence.

---

Don't even think I did the absolute value correctly, I got $\frac{\pi/2}{k^3}$.

And wasn't sure what test to use on the absolute value, completely stuck on this.