000126607 001__ 126607 000126607 005__ 20230914083822.0 000126607 0247_ $$2doi$$a10.24917/20809751.14.3 000126607 0248_ $$2sideral$$a134037 000126607 037__ $$aART-2022-134037 000126607 041__ $$aeng 000126607 100__ $$0(orcid)0000-0002-7725-3917$$aArnal-Palacián, Mónica$$uUniversidad de Zaragoza 000126607 245__ $$aInfinite limit of a function at infinity and its phenomenology 000126607 260__ $$c2022 000126607 5060_ $$aAccess copy available to the general public$$fUnrestricted 000126607 5203_ $$aIn 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. 000126607 536__ $$9info:eu-repo/grantAgreement/ES/DGA/S60-23R 000126607 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-sa$$uhttp://creativecommons.org/licenses/by-nc-sa/3.0/es/ 000126607 592__ $$a0.102$$b2022 000126607 593__ $$aMathematics (miscellaneous)$$c2022$$dQ4 000126607 593__ $$aEducation$$c2022$$dQ4 000126607 594__ $$a0.4$$b2022 000126607 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000126607 7102_ $$12006$$2200$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Didáctica Matemática 000126607 773__ $$g14 (2022), 25-41$$tAnnales Universitates Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia$$x2080-9751 000126607 8564_ $$s1109652$$uhttps://zaguan.unizar.es/record/126607/files/texto_completo.pdf$$yVersión publicada 000126607 8564_ $$s1366810$$uhttps://zaguan.unizar.es/record/126607/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000126607 909CO $$ooai:zaguan.unizar.es:126607$$particulos$$pdriver 000126607 951__ $$a2023-09-13-15:34:00 000126607 980__ $$aARTICLE