Hey everyone, I'm doing some practice problems to study for my calculus exam and can't seem to figure this one out. What am I missing?

sum from n=1 to infinity of [n*ln(n)]/[(n+8)^3]

I've tried direct comparison to k^2/[(n+8)^3], that didnt get me anywhere.

I've tried a limit comparison with 1/k^2, limit goes to infinity, no good.

I dont see how the ratio test could work here.

any pointers? thanks!