I've got a series which i applied the ratio test to, after simplifying a bit im left with:

(r+1)*5*(2r)!

(2(r+1))!

What should be my next step? i was thing of dividing by (2(r+1))! before tending r to inf.

But that leaves you with exact same equation, leaving it like that it would appear the equation tends to 0.

(sorry for lack of correct math symbols)

Thanks