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convergent sequence

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noun Mathematics.
  1. fundamental sequence.

fundamental sequence

noun Mathematics.
  1. 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.Compare complete(def 10b).
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