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Math Help - Taking the limit as x -> 0

  1. #1
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    Taking the limit as x -> 0

    Hi

    Does this function have a limit? I can't seem to solve this, the question is asking if there is a limit to this function.


    \lim_{x\to 0}e^{-\frac{1}{x^{2}}

    Thanks
    Bucephalus

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  2. #2
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    Re: Taking the limit as x -> 0

    Quote Originally Posted by Bucephalus View Post
    HiDoes this function have a limit? I can't seem to solve this, the question is asking if there is a limit to this function. \lim_{x\to 0}e^{-\frac{1}{x^{2}}
    Do you know what {\lim _{x \to \infty }}{e^{ - x}} =~?
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  3. #3
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    Re: Taking the limit as x -> 0

    yeah that's zero.
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  4. #4
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    Re: Taking the limit as x -> 0

    OH yeah, I get it now 1/0^2 = infinity.
    Thanks.
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