Hi,

$\displaystyle \sum_{n=1}^\infty \frac{n+2}{n^3 +1}$

I tried using the ratio test (ended up with 1 so wasn't helpful), similarly the nth root test and integral comparison test didn't work.

Can I say that:

$\displaystyle \frac{n+2}{n^3 +1} \leq \frac{1}{n^2}$

and 1/n^2 converges by the integral comparison test, so by the comparison theorem, the sum converges?

Is the above correct? Thanks

edit: I couldn't get the Latex to work so I've taken off the tags, sorry!