-Hi, everybody. This is a problem from an assignment dealing with, among other things, power series, liouville's theorem, the extended liouville theorem, the fundamental theorem of algebra, and analytic functions.
Sorry for not doing a proper post. Thanks for all the help!
We are asked to find the radius of convergence R of the power series expansion about z = 1 of the function
$ f(z) = \frac{1}{1 + z^2 + z^4 + z^6 + z^8 + z^{10}} $
in terms of real numbers and square roots only. (That's how the problem is phrased :-/).