Dictionary
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.