ˈkōshē-, kōˈshē- noun
Usage: usually capitalized C
Etymology: after Augustin-Louis Cauchy died 1857 French mathematician
: a sequence of elements in a metric space such that for any positive number no matter how small there exists a term in the sequence for which the distance between any two consecutive or nonconsecutive terms beyond this term is less than an arbitrarily small positive number
the sequence 1, 1/2, 1/3, 1/4, …, 1/n, … is a Cauchy sequence