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 to Limits
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. Click here for comic strip on two-sided limits

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

8. Assignment: p. 110 Ex. Set 2.1 (1, 2, 3, 5, 6, 7, 10, 11)  

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