what is a radius of convergence
In mathematics, the radius of convergence of a power series is the radius of the largest disk in which the series converges. It is either a non-negative real number or â.as radius of convergence 1, and diverges at every point on the boundary. Example 2: The power series for g(z) = âln(1 â z) , expanded around z = 0, which is. has radius of convergence 1, and diverges for z = 1 but converges for all other points on the boundary. The function Æ(z) of Example 1 is the derivative of g(z) .