anonymous
  • anonymous
limit question
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
\[\lim_{x \rightarrow 1^-}\frac{ 2\sqrt{x}(x-1) }{ |x^2-1|}\]
anonymous
  • anonymous
@dan815
anonymous
  • anonymous
anyone has any ideas?

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myininaya
  • myininaya
is x^2-1 negative or positive when x gets closer to 1 from the left?
myininaya
  • myininaya
recall |a|=a if a>0 |a|=-a if a<0 So what is |x^2-1|=???? if x->1-
anonymous
  • anonymous
if x approaches 1 from the left it would be negative for x^2-1?
myininaya
  • myininaya
yep now factor x^2-1
anonymous
  • anonymous
|dw:1377996421837:dw|
myininaya
  • myininaya
CANCEL
myininaya
  • myininaya
Cancel something. :)
anonymous
  • anonymous
|dw:1377996450496:dw| ?
myininaya
  • myininaya
yes now plug 1 in
anonymous
  • anonymous
|dw:1377996517162:dw|
anonymous
  • anonymous
:)
myininaya
  • myininaya
Good job.
anonymous
  • anonymous
thanks!

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