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Meaning of circle of convergence

cir'cle of conver'gence

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