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fun'damen'tal se'quence



Math.
an infinite sequence, x1, x2, …, whose terms are points in Ek, in which there exists a point y such that the limit as n goes to infinity of xn = y if and only if for every ε>0, there exists a number N such that i>N and j>N implies |xi -xj|< ε. Also called Cauchy sequence, convergent sequence. Cf. complete (def. 10b).

Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.

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