fundamental sequence

fundamental sequence
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 z>0, there exists a number N such that iN and jN implies |xi -xj|< z. Also called Cauchy sequence, convergent sequence. Cf. complete (def. 10b).

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Universalium. 2010.

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