A crucial use of the idea of limit is to separate out a class of functions to study: exactly those whose value at a point coincideswith the limit at that point. This is the class of continuous functions, and it contains many familiar and useful functions. In this chapter, we are interested in the special case of real-valued continuous functions on an interval in R. The concepts we develop here will be reexamined and developed in later chapters.
KeywordsPositive Integer Continuous Function Functional Equation Closed Interval Open Interval
Unable to display preview. Download preview PDF.