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Meaning of fundamental sequence

fun'damen'tal se'quence

Pronunciation: [key]
— Math. Math.
  1. an infinite sequence, x, x, …, whose terms are points in E, in which there exists a point y such that the limit as n goes to infinity of x = y if and only if for every &egr;>0, there exists a number N such that i>N and j>N implies |x −x|< &egr;. Also calledCf. complete (def. 10b).
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.