Question

Solve

Answer 1

\[\lim x->4 =(\sqrt{x+5}-3)/x-4\]

Answer 2

Any help.

Answer 3

HI!!

Answer 4

you do get \(\frac{0}{0}\) when you plug in right?

Answer 5

gimmick here is to multiply numerator and denominator by the conjugate of the numerator to rationalize it
do you know what i am talking about?

Answer 6

Rationalize the numerator....

Answer 7

\[\frac{\sqrt{x+5}-3}{x-4}\times \frac{\sqrt{x+5}+3}{\sqrt{x+5}+3}\] ois what @misty1212 is telling you to do

Answer 8

leave the denominator in factored form
just multiply up top

Answer 9

yeah that
you good from there?

Answer 10

Oh, thanks!

Answer 11

I would always FOIL the denominator too, which was my issue.

Answer 12

\[\color\magenta\heartsuit\]

Answer 13

oh no don't do that
you should expect the \(x-4\) to cancel, do don't multiply out

Answer 14

Yeah, I saw it just now, that makes sense, thanks again! I got 1/6 just to confirm.

Answer 15

that looks good

Answer 16

Alright thanks again guys!

Answer 17

lol guess i cam a guy now

Answer 18

yw

Answer 19

yeah you look like a guy!

Answer 20

Oh, I was referring to both of you haha