Infinite limit of a function at infinity and its phenomenology

Arnal-Palacián, Mónica (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.24917/20809751.14.3

Año: 2022

Publicado en: Annales Universitates Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia 14 (2022), 25-41
ISSN: 2080-9751

Factor impacto CITESCORE: 0.4 - Mathematics (Q4) - Social Sciences (Q4)

Factor impacto SCIMAGO: 0.102 - Mathematics (miscellaneous) (Q4) - Education (Q4)

Financiación: info:eu-repo/grantAgreement/ES/DGA/S60-23R

Tipo y forma: Article (Published version)

Área (Departamento): Área Didáctica Matemática (Dpto. Matemáticas)