Re: [math-fun] Integers, rationals, algebraics, ?

A power series with integer coefficients c[n], infinitely many of which are non-zero, has a radius of convergence at most 1.  This is so because if c[n] ≠ 0, then for |z| ≥ 1, |c[n] z^n| ≥ 1.   --  Gene On Saturday, February 10, 2018, 2:46:42 PM PST, Dan Asimov <dasimov@earthlink.net> wrote: Yes, I mean the coefficients of a power series about 0. I don't understand the comment about diverging at 1.