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Math Help - L'Hospital's Rule problem

  1. #1
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    L'Hospital's Rule problem

    How would I use L'Hospital's Rule to evaluate the following limits? I don't know how to start these problems.

    1. lim as x approaches infinity of xe^-sqrt x

    2. lim as x approaches 0 of (xe^1/x-x)
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  2. #2
    MHF Contributor harish21's Avatar
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    x\;e^{-\sqrt{x}}= \dfrac{x}{e^{\sqrt{x}}}

    as x -> infinity, the above has an indeterminate form...so take derivatives of the numerator and the denominator! if it still cant be determined, use lhopital's rule again!

    q2: write your notation clearly.Learn LaTex. Also show your effort on the problem!
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