anonymous
  • anonymous
find the limit http://www.imagebam.com/image/cb7f41432921593
Mathematics
chestercat
  • chestercat
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misty1212
  • misty1212
HI!!
freckles
  • freckles
oooo oo rationalize the numerator! :)
misty1212
  • misty1212
gimmick is to multiply top and bottom by the conjugate of the numerator, in other words compute \[\frac{\sqrt{2-x}-\sqrt{x}}{x-1}\times \frac{\sqrt{2-x}+\sqrt{x}}{\sqrt{2-x}+\sqrt{x}} \]

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misty1212
  • misty1212
leave the denominator in factored form
Loser66
  • Loser66
Why not l'hospital?
freckles
  • freckles
you can do that as well since you have 0/0 when you plug in x=1 I think the algebra is cute and cuddly though
Loser66
  • Loser66
:)
misty1212
  • misty1212
my guess is that this is a pre-l'hopital question also the derivative will be butt ugly

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