Keyword: «left and right limits of function»

In this article, a version of the topic "Continuity of a function at a point" presentation is proposed. The necessary theoretical material is supported by examples. The tasks on this topic are selected in such a way that clearly illustrates the basic concepts of the topic. In addition, the selected tasks and examples represent methodological recommendations for homework doing and preparation for control work. The authors consider them as one of the students' education organizing forms and revealing residual knowledge on the topic. For convenience of the stated material perception, points of discontinuity classification is presented in the form of a table with illustration of typical examples. The content of the article will be useful for teachers and students.