2. Definition of Continuity A. Continuity at a Point – A function f is continuous at a point if 1. f(c) is defined 2. exists 3. *see examples

3. B. Continuity on an Open Interval – A function is continuous on an open interval (a, b) if it is continuous at each point on the interval.

4. Removable - limit does exist at every point but is not continuous Non-Removable – no limit at a point and is not continuous

5. Tell is the function is continuous or discontinuous. If discontinuous, what kind. A.B. C. D. y = sin x

6. Look for vertical asymptotes then tell the type of continuity or discontinuity. A.B. C.

7. PG 76 #25-53 odds

8. Limit from the right (positive side of graph) Limit from the left (negative side of graph)

9. Find the limit of as x approaches -2 from the right. Find the limit of as x approaches -2 from the left.

10. If andthen

11. A. B. C.C.

12. What do you do if you cannot show work algebraically to solve a one-sided limit?

13. PG 76 #1-21 odds