Lesson #11
Intuitive Approach to Limits

Quote of the Day: 
      "Calculus has its limits."

Objectives:
    The student will begin to understand the concept of limit in mathematics.
    The student will view artistic works illustrating limits.
    The student will apply techniques of one-sided limits to graphs of relations.      
    The student will compute limits evaluated at infinity.

1. Collect Homework.

2. Artistic Approach to Limits – M.C. Escher (pictures, tee-shirt, posters)
        Click here for Works of art relating toLimits
3. Intuitive Idea of Limit
        The LIMIT is an expected value.  The actual value may actually be undefined.
       

   Some examples of one-sided limits (graphs):
       
       
       
       
       

4. Comic Strip Take-off on M.C. Escher's Drawing Hands
       

5. Click here for comic strip on infinity

6. Show Escher Puzzles (in puzzle box in closet)

7. Assignment:  p. 124 (1, 3, 6, 7, 9, 13, 14)  

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