---
tag: 0CH4VG15RE
kind: concept
name: Disc of convergence
aliases: [disk-of-convergence, radius-of-convergence]
msc: [30B10]
sources:
  - url: https://en.wikipedia.org/wiki/Radius_of_convergence
    locator: lead section
---

## Summary

The disc of convergence of a power series is the largest open disc around its center on which the series converges, see the [[definition|045EWAXY9P]].
Its radius is the radius of convergence, a number in $[0, \infty]$.