Meaning of conditional convergence

condi'tional conver'gence

Pronunciation: [key]
— Math. Math.
  1. the property of an infinite series that converges while the series formed by replacing each term in the given series with its absolute value diverges; the property of an infinite series that converges when the order of the terms is altered. Cf. absolute convergence (def. 1).
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.