Page 7 - Calc for the Clueless

is 1. Also note that f(6) = 4, but the lim f(x) as x goes to 6 does not exist. So be carrrrreful!!!

Example 6—

First we substitute x = 3 and get 0/0, which is indeterminate. We don't want to make charts all the time. In this
case we can factor.

Example 7—

First we substitute x = 0, and we again get 0/0. Making a chart, we get

X

0.3 1

0.1 1

0.01 1

0.001 1

-0.1 -1

-0.01 -1

-0.0001 -1

The limit from the left is -1, and the limit from the right is 1. Since they are not the same,

does not exist. The graph will show that the limit does not exist at x = 0.

Example 8—