# Convergent-sequence

**noun**, Mathematics.

1.

.

**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 | xi − xj |< ε. Also called Cauchy sequence, convergent sequence. Compare (def 10b).

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