1. Section 1.6 Calculating Limits Using the Limit Laws

2. Theorem: All the theorem is saying is that the limit has to be the same from left and right for the limit to exist. Direct substitution property: If f is a polynomial or a rational function and a is in the domain of f, then In other words as long as we don not have 0/0, then we can evaluate the limit by substitution.

3. Limit Laws: Suppose that c is a constant and the limits 1 2 3 4

4. 5.

5. Examples Evaluate the following limits:

6. More Examples Evaluate

7. Theorem: If f(x) g(x) when x is near a (except possibly at a) and the limits of f and g both exist as x approaches a. Then:

8. The Squeeze Theorem

9. Example of The Squeeze Theorem Show that the