On-line Math 21

1.3.1  Examples of computing limits using rules and theorems.

Problems with hints

Problem 1 Compute

lim x® 3  x2-9 x2-2x-3 .

What's the answer?

lim x® 3  x2-9 x2-2x-3 = lim x® 3  (x-3)(x+3) (x-3)(x+1) = lim x® 3  (x+3) (x+1) = (3+3) (3+1) = 3 2 .

By David L. Johnson, last modified 3/10/00.