
3-1
L E A RNIN G OBJE C TI V E S
After reading this chapter, you will be conversant with:
♦ Limit and Its Existence
♦ Limits at Infinity
♦ Continuity of a Function and Its Properties
♦ Discontinuity and Its Types
Introduction
Limit is the fundamental concept of Calculus. It describes the behaviour of a function as its input value
approaches a particular value. It is central to many Calculus concepts such as continuity, derivative and
integral as they are defined as certain limits.
3.1 LIMIT AND ITS EXISTENCE
What is meant by a limit?
The best example to interpret and illustrate limit is with the example of instantaneous speed.
We know how to co