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.