The Radius of Convergence

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

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

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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