## Littlebird one year ago lim as x approaches 2 of (sqrt(27-x)-5)/(sqrt(3-x)-1)

1. misty1212

HI!!

2. misty1212

do you get $\frac{0}{0}$ when you plug in 2 for $$x$$?

3. Littlebird

Yes

4. misty1212

yeah i guess you do too bad

5. misty1212

you have to rationalize BOTH

6. misty1212

i.e. multiply top and bottom by $(\sqrt{27-x}+5)(\sqrt{3-x}+1)$

7. misty1212

leave everything that does not get rationalized in factored form, don't multiply out

8. misty1212

clear what i mean, or no?

9. Littlebird

yes i understand

10. misty1212

ok the stuff that rationalizes should cancel nicely then plug in 1 remember, do not multiply the other stuff out just leave it

11. Littlebird

wow I just stared at it and realized what you were talking about. Thanks! :)