Question

lim as x approaches 2 of (sqrt(27-x)-5)/(sqrt(3-x)-1)

Answer 1

HI!!

Answer 2

do you get \[\frac{0}{0}\] when you plug in 2 for \(x\)?

Answer 3

Yes

Answer 4

yeah i guess you do
too bad

Answer 5

you have to rationalize BOTH

Answer 6

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

Answer 7

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

Answer 8

clear what i mean, or no?

Answer 9

yes i understand

Answer 10

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

Answer 11

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