Hi there,

I need a little help with testing the following series for convergence:

\sum_{n = 1}^\infty (7 - 4n + 5n^3)/(2n^3 - 6n + 3)

I'm sure this is very basic and doesn't involve using the limit comparison test or the ratio test but although i know it's a convergent sequence, it's just not obvious to me how to solve it. I'd appreciate any help pointing me in the right direction.

Thanks.