Finding the Radius of Convergence In Exercise 9-14, find the radius of convergence of the power series.
To calculate: The radius of convergence for the power series .
The series is .
Consider that is a power series and the value of the limit, . Then
If then series is everywhere convergent
if then series is absolutely convergent for all satisfying and divergent foe all x satisfying and radius of convergent is .
If then the series is nowhere convergent.
Consider the power series,
The nth term of the series is
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