Meaning of interval of convergence

in'terval of conver'gence

Pronunciation: [key]
— Math. Math.
  1. an interval associated with a given power series such that the series converges for all values of the variable inside the interval and diverges for all values outside it. Cf. circle of convergence.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.