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clara1223

  • one year ago

how to find the limit as x approaches 4 of (4-x)/(2-sqrt(x))

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  1. freckles
    • one year ago
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    hint: \[4-x=(2-\sqrt{x})(2+\sqrt{x})\]

  2. clara1223
    • one year ago
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    \[\lim_{x \rightarrow 4}\frac{ 4-x }{ 2-\sqrt{x} }\]

  3. freckles
    • one year ago
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    are you cool?

  4. freckles
    • one year ago
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    like with the hint

  5. clara1223
    • one year ago
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    Not really haha I remember learning that in class but I don't remember how to simplify from there.

  6. freckles
    • one year ago
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    so you never canceled common factors in division ?

  7. freckles
    • one year ago
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    for example a/a=1 do you know this?

  8. freckles
    • one year ago
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    \[\lim_{x \rightarrow 4} \frac{(2-\sqrt{x})(2+\sqrt{x})}{2-\sqrt{x}}\] you should see something to cancel here

  9. dinamix
    • one year ago
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    4 this lim x--->4

  10. clara1223
    • one year ago
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    @freckles yes i do. do i plug 4 into the remaining equation?

  11. freckles
    • one year ago
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    yeah

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