Does this series converge or diverge?
$$\sum_{n=1}^\infty\dfrac{n^2-3n}{\sqrt[3]{n^{10}-4n^2}}$$
I have tried using the comparison test, however when simplifying this i get $1/\sqrt[3]n$. I do not know what to compare with, I have tried comparing with something related with the p-test but it does not work.
Any ideas?