1. Section 11.1A Introduction to Limits
Ex 1: You are given 24 inches of wire and are asked
to form a rectangle whose area is as large as
possible. What dimensions should the
rectangle have?

2. Def: If f (x) becomes arbitrarily close to a unique L
Def: If f (x) becomes arbitrarily close to a unique L as x approaches c from either side, the limit of f (x) as x approaches c is L. this is written as
Use a table to numerically estimate the limits below:
Ex 2: Ex 3:

3. Use a graphing calculator to estimate the limits
below:
Ex 4:
Ex 5:

4. Ex 6: Show graphically that the limit does not exist.

5. Ex 7: Discuss the existence of the limit.
The value of the function increases without bound
since the closer x gets to 0, the higher the
value of the function becomes.

6. Ex 8: Discuss the existence of the limit.
The value “oscillates” between 1 and -1 as x gets
closer and closer to 0.

7. Suggested Assignment:
Section 11.1A
pg 750 – 751
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