A more intuitive definition of limit

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dc.creatorBaishanski, Bogdan M.
dc.date2008-05-23
dc.date.accessioned2026-07-07T09:40:41Z
dc.date.available2026-07-07T09:40:41Z
dc.descriptionLimit can be defined by two axioms: 1. Strict inequality between limits implies, ultimately, strict inequality between functions. 2. For constant functions limit is trivial. How can basic results on convergence be derived from these axioms? In this paper we propose two answers: a) at the most elementary level- add two more axioms, b) at somewhat higher level, do it in three steps, and, in our forthcoming paper "Axiomatic definition of limit", a third answer- c) do it neater - in an abstract framework, where only order relations are present.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/0805.3671
dc.identifierhttp://arxiv.org/abs/0805.3671
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161561
dc.subjectHistory and Overview
dc.subjectGeneral Mathematics
dc.titleA more intuitive definition of limit
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