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

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