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## How to Find the Radius of Convergence of a Power Series

If the power series converges on some interval, then the distance from the centre of convergence to the other end of the interval is called the radius of convergence. The radius of convergence

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With the inequality in the form ???\left|x-a\right|the radius of convergence of the Maclaurin series is???R=\frac12??? To find the interval of convergence