Convergence of a factorial function

[Badmouton]

The sum of "(n+3)!/(3n+2)!" with n=1 to n=inf. How do I find if it converges or diverges by using one of the tests(ratio, roots series, divergence, etc)?

 

[jbunniii]

Well, you have a ratio, so the ratio test seems worth trying. Did you try it?

 

[Badmouton]

I did, and it worked