On-line Math 21

1.4  Computing limits

Example 2 Compute

lim x® 3  x2-x-6 x3-4x2+3x .

Hints

For this, we note first that when x = 3, both the numerator and the denominator are 0. This is, as mentioned earlier, a signal that you have to do more. What can you do to make sense of that limit? Certainly 0/0 is not a good answer.

Another hint

Copyright (c) 2000 by David L. Johnson.