1. Please correct your homework as efficiently as possible so that we have plenty of time to get through the lesson.

2. Limits, Asymptotes, and Continuity Ex.

6. Def. A horizontal asymptote of f (x) occurs at y = L if or Def. A vertical asymptote of f (x) occurs at values of x where f (x) is undefined (sort of). and are examples of graphs that have a hole.

7. Ex. Find all asymptotes of, then sketch the graph.

8. means that x approaches 2 from the right (larger than 2) means that x approaches 2 from the left (smaller than 2) One-Sided Limits Ex.

9. Thm. The limit exists if both sides agree.

10. Ex. For the function given, find: a. b. c.

11. Ex. Find if

12. Def. (loose) A function is continuous on an interval if the graph has no gaps, jumps, or breaks on the interval. Ex. Is continuous on [0,5]?

13. Def. (tight) A function f (x) is continuous on an interval if, for all points c on the interval: i. exists ii. exists iii.

14. Ex. Let Find a value of B so that f (x) is continuous at x = 0.

15. The test on Chapter 1 will be on Monday. Next class we will review and Ill pass out a Sample Test so you know what types of questions I can ask.