I need to evaluate this for convergence/divergence:

$\displaystyle \sum_{n=1}^\infty \frac{n+5}{(n^7+n^2)^{1/3}}$

I tried a Limit Comparison Test with $\displaystyle \frac{1}{n^{7/3}}$ in the denominator, but that didn't get me anywhere. I don't see another function to compare this to.

Can anybody suggest what I might try?

Thanks.