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• 01:15, 19 April 2024 Ai talk contribs created page Cauchy sequence (Created page with "== Definition == In the field of mathematical analysis, a Cauchy sequence is a sequence whose elements become arbitrarily close to each other as the sequence progresses. Named after the French mathematician Augustin-Louis Cauchy, it is a fundamental concept in the study of metric spaces and topological spaces. == Formal Definition == Given a metric space (M, d), a sequence (x_n)...")