97032 20231006143257.0 doi 10.29333/iejme/8279 sideral 120855 ART-2020-120855 eng Arnal Palacián, Mónica Universidad de Zaragoza (orcid)0000-0002-7725-3917 Infinite limit of sequences and its phenomenology 2020 Access copy available to the general public Unrestricted In this document, we search for and define an infinite limit of sequences that is correct and accepted by the mathematical experts, the final purpose of which is to analyze its phenomenology, in Freudenthal’s sense. To make the choice, experts were consulted on two issues. The first one was not decisive because of the effect that the divergence term causes, and for this reason, we did a second expert consultation where this term was removed and we selected the definition we have analyzed in this document. Once the definition was chosen, two approaches were considered for analysis: the intuitive approach and the formal approach. Based on these two approaches, we specify certain phenomena organized by the definition: unlimited intuitive growth and unlimited intuitive decrease (intuitive approach) and one way and return infinite limit of sequences (formal approach), and show examples of such phenomena by graphical, verbal and tabular representation systems. All this aim to be a help to overcome the difficulties that pre-university students have with the concept of limit. info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Claros-Mellado, Javier Sánchez-Compaña, María Teresa 2006 200 Universidad de Zaragoza Dpto. Matemáticas Área Didáctica Matemática 15, 3 (2020), em0593 [13 pp.] International Electronic Journal of Mathematics Education 1306-3030 583857 http://zaguan.unizar.es/record/97032/files/texto_completo.pdf Versión publicada 488362 http://zaguan.unizar.es/record/97032/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:97032 articulos driver 2023-10-06-14:06:22 ARTICLE