The Radius of Convergence

This problem is very similar to the first example given. The general term of the series has the form

displaymath27

starting with n=1. Thus we can compute the limit of its absolute ratios as follows:

displaymath28

Consequently, the radius of convergence equals 1; the series will converge in an interval from -1 to 1.


Helmut Knaust
Thu Jul 11 13:05:15 MDT 1996

Copyright 1999-2017 MathMedics, LLC. All rights reserved.
Contact us
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA
users online during the last hour