I understand how to do all of this, but I have a question about one part:

Find the radius of convergence and the interval of convergence for:

Did the ratio test:

***Here is where I am confused...what happens to this when I take this limit?

I think it is:

=

but I'm not sure, and I don't really understand why it would or would not be

...How do I evaluate this part and can someone show me the process? Thanks!!

****NEVERMIND!!!! I see it!