Successfully reported this slideshow.
Upcoming SlideShare
×

# DiffCalculus: September 12, 2012

• Full Name
Comment goes here.

Are you sure you want to Yes No

• Be the first to like this

### DiffCalculus: September 12, 2012

1. 1. 1. LimitsFor you, what is a limit?
2. 2. 1. Limits
3. 3. 1. Limits
4. 4. 1. Limits
5. 5. 1. Limits
6. 6. 1. LimitsLet’s work it out for x = 1
7. 7. 1. LimitsLet’s work it out for x = 1
8. 8. 1. Limits
9. 9. 1. Limits The limit of (x2 - 1)/(x - 1) as x approaches 1 is 2
10. 10. 1. Limits The limit of (x2 - 1)/(x - 1) as x approaches 1 is 2
11. 11. 1. Limits
12. 12. 1. Limits"ignoring what happens when you get there, but asyou get closer and closer the answer gets closer andcloser to 2"
13. 13. 1. Limits"ignoring what happens when you get there, but asyou get closer and closer the answer gets closer andcloser to 2"
14. 14. 1. LimitsCommon Sense DefinitionA limit is the intended height of a function.
15. 15. 1. LimitsWhen it is different from different sides.
16. 16. 1. LimitsWhen it is different from different sides.
17. 17. 1. LimitsWhen it is different from different sides.
18. 18. 1. LimitsWhen it is different from different sides.
19. 19. 2. ExamplesFind the following limits:
20. 20. 2. ExamplesFind the following limits: =1
21. 21. 2. ExamplesFind the following limits: =1 =DNE
22. 22. 2. ExamplesFind the following limits: =1 =DNE =2
23. 23. 2. ExamplesFind the following limits: =1 =DNE =2 = −∞
24. 24. 2. ExamplesTrue or False: ! DNE ! DNE ! DNE
25. 25. 2. ExamplesTrue or False: ! False DNE ! DNE ! DNE
26. 26. 2. ExamplesTrue or False: ! False DNE False ! DNE ! DNE
27. 27. 2. ExamplesTrue or False: ! False DNE False ! False DNE ! DNE
28. 28. 2. ExamplesTrue or False: ! False DNE False ! False DNE True ! DNE
29. 29. 2. ExamplesTrue or False: ! False DNE False ! False DNE True ! True DNE
30. 30. 2. ExamplesTrue or False: ! False DNE False ! False DNE True ! True DNE False