# Limits

• March 29th 2006, 09:58 AM
becky
Limits
Just need somebody to double check a few problems for me.

lim 9-x^2/x-3
x->3

lim -(x-3)(x-3)/x-3 =
x->3

-(x+3) = -(3+3) = -6

Next problem
lim x^2 +x-6/x-2
x->2

Lim (x+3)(x-2)/x-2 =
x->2

lim x+3=
x->2

2+3=5
• March 29th 2006, 12:17 PM
topsquark
Quote:

Originally Posted by becky
Just need somebody to double check a few problems for me.

lim 9-x^2/x-3
x->3

lim -(x-3)(x-3)/x-3 =
x->3

-(x+3) = -(3+3) = -6

Next problem
lim x^2 +x-6/x-2
x->2

Lim (x+3)(x-2)/x-2 =
x->2

lim x+3=
x->2

2+3=5

You got them right! :)

A tip. Your first problem is:
$\lim_{x \to 2}\frac{9-x^2}{x-3}$

If you click on the expression above it will tell you how to code it in LaTeX. Otherwise you might want to consider using parenthesis so that your expression is unambiguous.

-Dan