The Radius of Convergence of a Taylor Series
Greg Fee, CECM, SFU
Abstract: We will look at numerical methods for estimating the radius of convergence of a truncated taylor series. In particular, we consider the series in x satisfying z-log(1+z) = x^2/2. This series begins with x + x^2/3 + x^3/36 - x^4/270 + x^5/4320 + x^6/17010 + ... which suggests that the radius of convergence is infinite but this is not the case.