Limit of (9-x) / (3 - sqrt(x))

[fisch512]

Hey all, iv been stuck on this problem for a while now and could use some help.
I also need to solve it without using any derivatives or approximations such as using
8.99999 or 9.0000001.

I need to find the Lim[sub:zd3lwa2a]as x approaches 9[/sub:zd3lwa2a] of (9-x) / (3 - sqrt(x))


Thanks in advance.

 

[royhaas]

Well, you can factor \(\displaystyle 9 - x = (3+\sqrt{x})(3-\sqrt{x})\).

 

[fisch512]

Wow! thanks so much, I cant believe I couldn't come up with that on my own.