126607 20230914083822.0 doi 10.24917/20809751.14.3 sideral 134037 ART-2022-134037 eng Arnal-Palacián, Mónica Universidad de Zaragoza (orcid)0000-0002-7725-3917 Infinite limit of a function at infinity and its phenomenology 2022 Access copy available to the general public Unrestricted In this paper we aim to characterise and define the phenomena of the infinite limit of a function at infinity. Based on the intuitive and formal approaches, we obtain as results five phenomena organised by a definition of this limit: intuitive unlimited growth of a function, for plus and minus infinity, and intuitive unlimited decrease of a function, for plus and minus infinity (intuitive approach), and the one way and returned phenomenon of infinite limit functions (formal approach). All this is intended to help overcome the difficulties that pre-university students have with the concept of limit, contributing from phenomenology, Advanced and Elementary Mathematical Thinking, and APOS theory. info:eu-repo/grantAgreement/ES/DGA/S60-23R info:eu-repo/semantics/openAccess by-nc-sa http://creativecommons.org/licenses/by-nc-sa/3.0/es/ 0.102 2022 Mathematics (miscellaneous) 2022 Q4 Education 2022 Q4 0.4 2022 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 2006 200 Universidad de Zaragoza Dpto. Matemáticas Área Didáctica Matemática 14 (2022), 25-41 Annales Universitates Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia 2080-9751 1109652 http://zaguan.unizar.es/record/126607/files/texto_completo.pdf Versión publicada 1366810 http://zaguan.unizar.es/record/126607/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:126607 articulos driver 2023-09-13-15:34:00 ARTICLE