Successfully reported this slideshow.
Upcoming SlideShare
×

# Limits of functions

1,501 views

Published on

Limits of a Function

Published in: Education
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

### Limits of functions

1. 1. LIMITS OF A FUNCTION Reporter: Miss Louie Joy J. Rosit
2. 2. LIMITS OF A 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
3. 3. THEOREMS ON LIMIT:
4. 4. THEOREMS ON LIMIT:
5. 5. EXAMPLES:
6. 6. EXAMPLES:
7. 7. EXAMPLES:
8. 8. CONTINUITY AND 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. 9. THEOREMS ON CONTINUITY
10. 10. THEOREMS ON CONTINUITY
11. 11. THEOREMS ON CONTINUITY
12. 12. THEOREMS ON CONTINUITY
13. 13. EXAMPLES: x -4 -2 0 2 4 f(x) 16 4 0 4 16
14. 14. EXAMPLES: x -2 -1 0 1 2 f(x) -1/2 -1 undefined 1 1/2
15. 15. EXAMPLES:
16. 16. EXERCISES: 1) Evaluate: 2) Find the value or values of x for which the function is discontinuous:
17. 17. “I can do all things through Christ who strengthens me..” -Philippians 4:13