Radius of convergence - sequences and series, Mathematics

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Radius of Convergence

We will be capable to illustrate that there is a number R so that the power series will converge for, |x - a| < R and will diverge for |x - a| > R.  This number is known as the radius of convergence for the series. 

Note: The series may or may not converge if |x - a| = R.  What is going to occur at these points will not change the radius of convergence.


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