Description
The root criterion calculates the Convergence radius for a Power series.
Definition
Let be a Power series. The radius of convergence is then calculated as Where division by zero of infinity is handled in the obvious way.
14 Apr 20251 min read
The root criterion calculates the Convergence radius for a Power series.
Definition
Let ∑anzn be a Power series. The radius of convergence r is then calculated as r−1=limsupn→∞n∣an∣ Where division by zero of infinity is handled in the obvious way.