The objective of the present research was to design didactic tasks for the teaching-learning of the dynamic conception of the concept of limit of a sequence for students of Bachillerato General Unificado (BGU) through the use of fractals. The research is based on the Piagetian construct called Genetic Decomposition (GD) and on the Action-Process-Object-Object-Scheme (APOE) theory; it also considers the difficulties associated with the teaching and learning process of the concept of limit, as well as the numerical and symbolic representation systems. It has a qualitative approach, a descriptive level of depth. The final product of this work was a set of tasks framed in the constructs and mechanism of APOE theory that allow BGU students to deduce in terms of the limit of a sequence the dimensions of fractals such as the Set of Cantor, Koch's Snowflake, Carpet and Sierpinski's Triangle.

The objective of this workshop is to analyze how the GeoGebra software can be used in the teaching-learning of the dynamic conception of the concept of limit for students of the Unified General Baccalaureate, the theoretical support of it constitutes the APOE theory of Dubinsky in what which refers to the genetic decomposition of the concept oflimit of a function. This research is qualitative at an exploratory-descriptive level, both a documentary bibliographical research and a field research were used, for which an instrument composed of five didactic tasks was developed that has multiple choice and completion questions, presented on the platform. Geogebra.org. One of the main results that is expected to be achieved is a greater understanding of the concept of limit through the graphic representation system compared to the other representation systems.