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Math Help - Limit calculation

  1. #1
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    Limit calculation

    Hey,
    Can anyone please tell me why is this limit correct?
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  2. #2
    Eater of Worlds
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    \lim_{x\to 0}\frac{e^{\frac{-1}{x^{2}}}}{x}

    Let t=\frac{1}{x^{2}}, \;\ x=\frac{1}{\sqrt{t}}

    Making the subs gives us:

    \lim_{t\to \infty}\frac{\sqrt{t}}{e^{t}}=0

    e grows much more than the radical, so it tends to 0
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  3. #3
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    tnx.. =]
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