This problem is tripping me up:

I'm trying to use the ratio test to see if it converges/diverges and am getting:

I'm assuming the work is correct so far, and that the ratio test is the right test to use, but I really have no idea where to go from here. I'd like to be able to cancel some stuff but I think I'm lacking a good understanding of how these factorials relate to each other and how to work with them squared. Any help appreciated.