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Math Help - hwo to evaluate these limits?!

  1. #1
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    hwo to evaluate these limits?!

    how would i evaluate these two limits? they're on my textbook but half of the page is ripped off with the answers..

    lim x-16 / (quad root of x) - 2
    x -> 16

    and

    lim (square root of 1-x) - 1 / (square root of 4-x) - 2
    x -> 0

    i'm not sure if it's called "quad" root, sorry!

    thanks!
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  2. #2
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    Quote Originally Posted by kelvinly View Post
    how would i evaluate these two limits? they're on my textbook but half of the page is ripped off with the answers..

    lim x-16 / (quad root of x) - 2
    x -> 16

    and

    lim (square root of 1-x) - 1 / (square root of 4-x) - 2
    x -> 0

    i'm not sure if it's called "quad" root, sorry!

    thanks!
    for the first limit ...

    x-16 = (\sqrt{x}+4)(\sqrt{x}-4) = (\sqrt{x}+4)(\sqrt[4]{x}+2)(\sqrt[4]{x}-2)


    for the second limit, rationalize numerator and denominator ...

    \displaystyle \frac{\sqrt{1-x}-1}{\sqrt{4-x}-2} \cdot \frac{(\sqrt{1-x}+1)(\sqrt{4-x}+2)}{(\sqrt{1-x}+1)(\sqrt{4-x}+2)}
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  3. #3
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    Is there a way to do like mathtype style stuff here?
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Knukles View Post
    Is there a way to do like mathtype style stuff here?
    yes. see the LaTeX tutorials here
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