Limits and Continuity

Abstract

This chapter focuses on limits and continuity at a point and on an interval. Infinite limits and the limits at infinity are considered then, concepts of the asymptotes will be declared. Concepts of right and left limits and right and left continuity will be defined. Continuity on an interval will be used to introduce the intermediate value theorem which is also known as Bolzano's theorem. By this theorem we find the interval where the root of an equation may exist. To complete this chapter, we add a section namely Sequences and Series which is optional. After defining the concepts of convergent and divergent for sequences and series we introduce some tests for convergent and divergent.