On the effective radius of convergence for a given truncated power series expansion

Abstract

An effective radius of convergence is defined and computed for any truncated Taylor series. Applications to well known series are performed and is shown that a range of good coincidence for actual and approximative plot can always be found. For sufficient large degree of approximation the effective radius is also an estimation of the true non-infinite radius of convergence.

arXiv comment11 pages, 7 figures