Radius of convergence and interval of convergence calculator.
Answer:
To calculate the radius and interval of convergence of a power series, you generally need to use the Ratio Test or the Root Test
What’s the radius of convergence?
The radius of convergence of a power series is the radius of the largest disk centered at the point of convergence in which the series converges. It is either a non-negative real number or infinity.
In complex analysis, the radius of convergence of a power series centered at a point a is equal to the distance from a to the nearest point where the function defined by the series cannot be defined in a way that makes it holomorphic.
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