Find the Maclaurin series for f(x) using the definition of a Maclaurin series. Assume that f has a power series expansion. And find the associated radius of convergence, R.

My Maclaurin series I got was:

So, I'm fine with getting to this point (finally). So when I do my ratio test to find my R, I start off ok, but then I don't know what/how I am supposed to cancel out terms to get to something I can actually take my limit at.

How in the world do I simplify this??????