The series that I'm working with is: (Series, n=1 -> infinity) n!/en^2
I decided that the ratio test would be my best bet, so I have come to the limit(n-> infinity) (n+1)/(e2n+1).
I know that this limit is infinity/infinity at the moment, which is indeterminate. Usually what I would do is place every term over the highest
n power, but I get confused with the e term in the denominator.
My book says that this limit = 0, which would make it convergent, I just get mixed up in the middle.
What is the right approach to figuring out this limit?