The presentation discusses limits and continuity of functions. It defines what a function limit is as x approaches a value a, and lists some theorems on limits. Examples of limits are provided. Continuity and discontinuity are defined, where a continuous function satisfies three conditions as x approaches a. Theorems on continuity are outlined and an example function is shown to be continuous.

1. Presentation on
Limits of A Function
Green University

2. Submitted to
Humayan kabir Rana
Dept. of CSE
Submitted by
Achinta Roy
ID: 161002013
Dept. of CSE

3. Contents
 What is function
 Theorems on Limit
 Example of Limit
 Continuity and Discontinuity
 Theorems on Continuity
 Example of Continuity

4. What is function
A function f(x) is said to approach a value A
as x approaches a, if corresponding to
every positive number Є there is some
positive number such that
is true for every x that satisfies the
inequality

5. Theorems on Limit

6. Theorems on Limit

7. Example of Limit

8. Continuity &
Discontinuity
A single-valued function f(x) is said to be
continuous at a value a of its domain provided
that:
A function that is not continuous at a point is
said to be discontinuous at that point.

9. Theorems on Continuity

10. Theorems on Continuity

11. Theorems on Continuity

12. Theorems on Continuity

13. Example of Continuity
x -4 -2 0 2 4
f(x) 16 4 0 4 16

16. Created by
Mohammad Ali Khan