clara1223
  • clara1223
how to find the limit as x approaches 4 of (4-x)/(2-sqrt(x))
Mathematics
katieb
  • katieb
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freckles
  • freckles
hint: \[4-x=(2-\sqrt{x})(2+\sqrt{x})\]
clara1223
  • clara1223
\[\lim_{x \rightarrow 4}\frac{ 4-x }{ 2-\sqrt{x} }\]
freckles
  • freckles
are you cool?

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freckles
  • freckles
like with the hint
clara1223
  • clara1223
Not really haha I remember learning that in class but I don't remember how to simplify from there.
freckles
  • freckles
so you never canceled common factors in division ?
freckles
  • freckles
for example a/a=1 do you know this?
freckles
  • freckles
\[\lim_{x \rightarrow 4} \frac{(2-\sqrt{x})(2+\sqrt{x})}{2-\sqrt{x}}\] you should see something to cancel here
dinamix
  • dinamix
4 this lim x--->4
clara1223
  • clara1223
@freckles yes i do. do i plug 4 into the remaining equation?
freckles
  • freckles
yeah

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