After finding the radius of convergence using:
$R=\frac{1}{\sqrt[n]{|a_n|}}$ or $R=\frac{|a_n|}{|a_{n+1}|}$
What is the requirement from the end points so we can decided if the convergence is on a closed or open interval?
2026-04-15 10:08:47.1776247727
Radius of convergence
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There is no simple test for that. You'll need to plug the found radius into the power series and investigate the convergence there as special cases.