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Cau·chy sequence | \ kō-ˈshē- 
, ˈkō-shē- \
, ˈkō-shē- \Definition of Cauchy sequence
: 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 terms beyond this term is less than the arbitrarily small number
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The first known use of Cauchy sequence was circa 1949
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