000097032 001__ 97032 000097032 005__ 20231006143257.0 000097032 0247_ $$2doi$$a10.29333/iejme/8279 000097032 0248_ $$2sideral$$a120855 000097032 037__ $$aART-2020-120855 000097032 041__ $$aeng 000097032 100__ $$0(orcid)0000-0002-7725-3917$$aArnal Palacián, Mónica$$uUniversidad de Zaragoza 000097032 245__ $$aInfinite limit of sequences and its phenomenology 000097032 260__ $$c2020 000097032 5060_ $$aAccess copy available to the general public$$fUnrestricted 000097032 5203_ $$aIn 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. 000097032 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000097032 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000097032 700__ $$aClaros-Mellado, Javier 000097032 700__ $$aSánchez-Compaña, María Teresa 000097032 7102_ $$12006$$2200$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Didáctica Matemática 000097032 773__ $$g15, 3 (2020), em0593 [13 pp.]$$tInternational Electronic Journal of Mathematics Education$$x1306-3030 000097032 8564_ $$s583857$$uhttps://zaguan.unizar.es/record/97032/files/texto_completo.pdf$$yVersión publicada 000097032 8564_ $$s488362$$uhttps://zaguan.unizar.es/record/97032/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000097032 909CO $$ooai:zaguan.unizar.es:97032$$particulos$$pdriver 000097032 951__ $$a2023-10-06-14:06:22 000097032 980__ $$aARTICLE