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.
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