Unit 2: Limits and Continuity
A. Definition of limit
1. Finding limits graphically and numerically
2. Evaluating limits analytically
Finding Limits Using Difference of Cubes
Finding Limits Using Difference of Cubes II
Finding Limits Using Common Denominator
Finding Limits Using Conjugates
Finding Limits Involving Trig Functions I
B. Limits at a point
1. Properties of limits
2. Well-known theorems
3. One-sided
4. Two-sided
C. Limits involving infinity
1. Asymptotic behavior
2. End behavior
3. Properties of limits
4. Visualizing limits
D. Continuity
1. Continuous functions
2. Discontinuous functions
a. Removable discontinuity
b. Jump discontinuity (non-removable)
c. Infinite discontinuity (non-removable)
E. Rates of Change
1. Average rate of change
2. Instantaneous rate of change
F. Intermediate Value Theorem