# Convergence interval

From Encyclopedia of Mathematics

*of a power series with real centre*

The (open) interval of real values of the argument with the property that the power series converges at each point of it, while it diverges at every point outside it that is not a boundary point.

**How to Cite This Entry:**

Convergence interval. BSE-3 (originator),

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Convergence_interval&oldid=18304

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098