For which positive integers k is the following series convergent?
[(n!)^2]/[(kn)!] as n goes from 1 to infinity. Please show the steps using the ratio test.
doesn't (kn)! get cancelled since (kn + k)! = (kn)! (kn + k) (kn + (k-1)) (kn + (k-2)) + ....so on? So doesn't that just leave us with (n+2)^2 on the numerator?
Look, I am not going to do this problem for you.
So the answer to your question is: I left that factor out.
You must do somethings for yourself.
I am now done with this thread.