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Math Help - Squeeze Theorem Help

  1. #1
    Junior Member
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    Squeeze Theorem Help

    Hey guys any help on this problem will be appreciated

    This is the problem

    Lim

    X->0+

    sqrtX times sin(x/absoluted X + x^3)


    I'm trying to understand this problem conceptually but having massive problems. Thanks guys.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Afterme View Post
    Hey guys any help on this problem will be appreciated

    This is the problem

    Lim

    X->0+

    sqrtX times sin(x/absoluted X + x^3)


    I'm trying to understand this problem conceptually but having massive problems. Thanks guys.
    You want to find:

    \lim_{x \to 0_+} \sqrt{x} \sin(x/(|x+x^3|)

    As |\sin(x)|\le 1, we have:

    -\sqrt{x}\le\sqrt{x} \sin(x/(|x+x^3|)\le \sqrt{x}

    and the squeeze theorem should take you from there.

    CB
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