Section 1.6 Calculating Limits Using the Limit Laws

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.

Limit Laws: Suppose that c is a constant and the limits

5.

Examples Evaluate the following limits:

More Examples Evaluate

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:

The Squeeze Theorem

Example of The Squeeze Theorem Show that the