anonymous
  • anonymous
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Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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anonymous
  • anonymous
\[\lim x->4 =(\sqrt{x+5}-3)/x-4\]
anonymous
  • anonymous
Any help.
misty1212
  • misty1212
HI!!

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misty1212
  • misty1212
you do get \(\frac{0}{0}\) when you plug in right?
misty1212
  • misty1212
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?
theopenstudyowl
  • theopenstudyowl
Rationalize the numerator....
anonymous
  • anonymous
\[\frac{\sqrt{x+5}-3}{x-4}\times \frac{\sqrt{x+5}+3}{\sqrt{x+5}+3}\] ois what @misty1212 is telling you to do
anonymous
  • anonymous
leave the denominator in factored form just multiply up top
misty1212
  • misty1212
yeah that you good from there?
anonymous
  • anonymous
Oh, thanks!
anonymous
  • anonymous
I would always FOIL the denominator too, which was my issue.
misty1212
  • misty1212
\[\color\magenta\heartsuit\]
anonymous
  • anonymous
oh no don't do that you should expect the \(x-4\) to cancel, do don't multiply out
anonymous
  • anonymous
Yeah, I saw it just now, that makes sense, thanks again! I got 1/6 just to confirm.
misty1212
  • misty1212
that looks good
anonymous
  • anonymous
Alright thanks again guys!
misty1212
  • misty1212
lol guess i cam a guy now
anonymous
  • anonymous
yw
anonymous
  • anonymous
yeah you look like a guy!
anonymous
  • anonymous
Oh, I was referring to both of you haha

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