Limits Review (Sections 10.1 – 10.3)

1. Limits Review (Sections 10.1 – 10.3)

2. Asymptotes

3. Chapter 10 Review Due 5/28 #1 – 14 19 – 26 (skip 6, 10, 23, 24) (p. 794)

4. 10.3 Limits Day # 1

5. x 1.9 1.99 1.999 2.001 2.01 2.1 f(x) x = 2 2 Inputs approach 2 from the left Inputs approach 2 from the right 2.9256 2.9925 2.9992 3.0007 3.0075 3.0756 3 Outputs approach 3 Outputs approach 3

6. f(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a. seeing how the values of a function f(x) approach a value L (Limit) as x approaches the value a.

7. 10.3 Limits Day # 2

8. left-hand limit right-hand limit The limit of f as x approaches c from the left The limit of f as x approaches c from the right

9. two – sided limit A function f(x) has a limit as x approaches c iff the left-hand and right-hand limits at c exist and are equal. That is,

10. does not exist discontinuous step – function the greatest integer less than or equal to x 1 – 2 2 1 2 does not exist

11. True True 0 False True False False False True False True

12. 10.3 Limits Day # 3

13. 0 Does not exist

14. Does not exist – constantly fluctuates between 1 and -1

15. From Chapter 2 denominator the x – axis ( y = 0 ) the line y = an / bm there is no quotient output input

16. Chapter 8 Review Due 5/25 #4, 10, 12, 13 – 20, 24, 38 – 48 even (p. 664)