convergent sequence

noun Mathematics.

fundamental sequence.

Words nearby convergent sequence

convergence zone, convergent, convergent boundary, convergent evolution, convergent plate boundary, convergent sequence, convergent strabismus, convergent thinking, converging lens, conversable, conversant

Definition for convergent-sequence (2 of 2)

fundamental sequence

noun Mathematics.

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).