ABSTRACT
General Remark. Due to the close connection between the concepts of limit and continuity, the majority of the examples of chapter 2 can be reformulated for continuous functions. A few of them are described in this chapter to exemplify the modications required. Notice that all these properties are of a local character, and they appear in section 3.2 together with some additional examples of local properties. The greatest attention in this chapter is paid to global properties of functions related to continuity, because these issues were not discussed so far and they are important both in mathematics and applications.
