Section 1.4: Limits and Continuity
Key Concepts
Limit Properties (for determining limits algebraically)
Assume the limits of both f(x) and g(x) as "x" approaching "a" exist and "c" is any constant.
Lessons for Section 1.4:
Limit Properties
 Limit Properties
 Limit Properties


Continuous Functions
1. What are Continuous Functions? (An online lesson introducing and defining continuous functions)
2. Continuous Functions (Example 1)
3. Continuous Functions (Example 2)
4. Continuous Functions (Example 3)
5. Continuous Functions (Example 4)
6. Continuity and Types of Discontinuities
Limits and Continuity
1. Limits and Discontinuities
2. Discontinuities of Functions (a video explaining in details infinite discontinuity with a vertical asymptote)
3. Limits and Piecewise Functions
4. Limits of Indeterminate Form (a PowerPoint presentation defining limits of indeterminate form)
limits_indeterminate_form.ppt  
File Size:  67 kb 
File Type:  ppt 
5. Basic Limits vs. Limits of Indeterminate Form (Only an excerpt, not the entire lesson)
Evaluate Limits: Continuity vs. Discontinuity
1. Determine Continuity of a Function (Example 1)
2. Determine Continuity of a Function (Example 2)
3. Determine Continuity of a Function (Example 3)
4. Determine Continuity of a Function (Example 4)
5. Evaluate Limits of Continuous Functions Algebraically (Example 1)
6. Evaluate Limits of Continuous Functions Algebraically (Example 2)
7. Evaluate Limits of Continuous Functions Algebraically (Example 3)
8. Evaluate Limits of Continuous Functions Algebraically (Example 4)
9. Evaluate Limits of Discontinuous Functions Algebraically (Example 1)
10. Evaluate Limits of Discontinuous Functions Algebraically (Example 2)
11. Evaluate Limits of Discontinuous Functions Algebraically (Example 3)
12. Evaluate Limits of Discontinuous Functions Algebraically (Example 4)
Assigned Practices:
 eBook: Read p. 35 to 43
 eBook: Do exercises on p. 44 #1 to 14
 eBook: InClass exercises p. 46 #15 to 18