1. Calculus 2-4 Limits and Continuity

2. Continuity No breaks or interruptions in a function

3. Discontinuity Any breaks in a graph

4. Continuity at a Point

5. Removable Discontinuity We can fix the discontinuity by defining the point of discontinuity.

6. Jump Discontinuity If the one side limits exist but are not equal. This is considered bad because it is not an easy fix.

7. One-Side Continuity

8. Continuous at all points except at 1. Jump discontinuity at 1 Right-continuous at 1

9. Infinite Discontinuity If one or both side limits of a function are infinite, then the function is infinite discontinuous at that point.

10. Basic Laws of Continuity

11. Continuity of Polynomial and Rational Functions

12. Continuity of Some Basic Functions

13. Continuity of Composite Functions

14. Problems 2.4 #1-5, 7, 13, 17, 23, 27, 49-53 odd, 57, 59