Objectives:
1. Demonstrate an understanding of the area between a curve and the x-axis.
2. Describe the epsilon-delta definitions of one-sided limits and infinite limits.
3. To evaluate the limit of a functions.
4. Illustrate limits and its theorems.
5. To evaluate infinite limits.
6. To calculate the limit of a function as x increase or decreases without bound.

Limits

Limits in maths are defined as the values that a function approaches the output for the given input values. Limits play a vital role in calculus and mathematical analysis and are used to define integrals, derivatives, and continuity. It is used in the analysis process, and it always concerns the behavior of the function at a particular point.

What Are Limits?

Limits in maths are unique real numbers. Let us consider a real-valued function “f” and the real number “c”, the limit is normally defined as limx→cf(x)=Llimx→cf(x)=L. It is read as “the limit of f of x, as x approaches c equals L”. The “lim” shows the limit, and fact that function f(x) approaches the limit L as x approaches c is described by the right arrow.