Littlebird
  • Littlebird
lim as x approaches 2 of (sqrt(27-x)-5)/(sqrt(3-x)-1)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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misty1212
  • misty1212
HI!!
misty1212
  • misty1212
do you get \[\frac{0}{0}\] when you plug in 2 for \(x\)?
Littlebird
  • Littlebird
Yes

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misty1212
  • misty1212
yeah i guess you do too bad
misty1212
  • misty1212
you have to rationalize BOTH
misty1212
  • misty1212
i.e. multiply top and bottom by \[(\sqrt{27-x}+5)(\sqrt{3-x}+1)\]
misty1212
  • misty1212
leave everything that does not get rationalized in factored form, don't multiply out
misty1212
  • misty1212
clear what i mean, or no?
Littlebird
  • Littlebird
yes i understand
misty1212
  • misty1212
ok the stuff that rationalizes should cancel nicely then plug in 1 remember, do not multiply the other stuff out just leave it
Littlebird
  • Littlebird
wow I just stared at it and realized what you were talking about. Thanks! :)

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