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# Limits of functions

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Limits of a Function

Publié dans : Formation
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### 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