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convergent sequence

noun, Mathematics

fundamental sequence

noun, Mathematics
1.
an infinite sequence, x 1 , x 2 , …, 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 | xixj |< ε.
Also called Cauchy sequence, convergent sequence.
Compare complete (def 10b).
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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