Cauchy sequence


Cau·​chy sequence kō-ˈshē- How to pronounce Cauchy sequence (audio)
: 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

Word History


Augustin-Louis Cauchy †1857 French mathematician

First Known Use

circa 1949, in the meaning defined above

Time Traveler
The first known use of Cauchy sequence was circa 1949

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Cite this Entry

“Cauchy sequence.” Dictionary, Merriam-Webster, Accessed 18 Apr. 2024.

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