ALL meanings of fundamental sequence
fun·da·men·tal se·quence
F f - noun fundamental sequence 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 complete (def 10b). 1