Hi,

I want to see if this series is convergent but I'm a bit lost.

\sum_{n = 1}^\infty (5 - 2cos n)/(3n^3 + n + 2).

Obviously it's dominated by 1/n^3, and i'm sure it is convergent, but I'm struggling to manipulate the expression to prove this. Any advice on how to get going?

Thanks.