1. Continuity Section 10.3

2. Limits for some functions are easy to evaluate We call these “well behaved”

3. Some are NOT easy to evaluate These are NOT “well behaved”

4. In calculus, “well behaved” means CONTINUOS

5. Definition of continuity The function must have a value The function must have a limit The two must be the same Which means…

6. Definition of continuity The two must be the same

7. A function is continuous on an interval if we can draw the graph from start to finish without ever once picking up our pencil.

8. Graph of

9. Continuous OR Not Continuous

10. Continuous OR Not Continuous

11. Continuous OR Not Continuous

12. Continuous OR Not Continuous

13. For many functions, it’s easier to determine where it is NOT continuous