calculus - Limit and infinite sums. Finding $lim_{xrightarrowinfty}sum^{infty}_{k=1}frac{1}{k^3 x-k^2}$

Could anyone help me with this problem. Compute
$$\lim_{x\rightarrow\infty}\sum^{\infty}_{k=1}\dfrac{1}{k^3 x-k^2}$$ I don't know how to change a limit and a sum. Could you help me with this problem then suggest me some materials about changing a limit and a sum. Thanks.