---
tag: 0ED4HWNDGW
kind: concept
name: Interval of convergence
msc: [30B10]
sources:
  - url: https://en.wikipedia.org/wiki/Radius_of_convergence
    locator: Convergence on the boundary
---

## Summary

The interval of convergence of a real power series is the set of points where the series converges. It is an interval with center $c$ and half length equal to the radius of convergence. The node [[interval of convergence|0Z5R9TVWQH]] gives the precise definition.