abstract:In mathematics, a Cauchy sequence (pronounced ), named after Augustin-Louis Cauchy, is a sequence whose elements become arbitrarily close to each other as the sequence progresses.Lang, Serge (1993), Algebra (Third ed.
We provedtheintermediatevaluetheorem for continuousfunctionatclosedintervalbyconstructingauxiliarysequence ingeniously and applyingcompacttheorem as well as Cauchyconvergencecriterion.
