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Math Help - L' Hopital's Rule for non fraction.

  1. #1
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    L' Hopital's Rule for non fraction.

    The problems states, Evaluate the limit using L'Hopital's rule:
    \lim_{x \to \0}(1-5x)^{\frac{1}{x}}

    Can someone walk me through how to make this into a fraction so that I can attempt the rule? Thanks!
    Last edited by jjtjp; April 6th 2013 at 05:47 PM. Reason: wrong equation
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  2. #2
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    Re: L' Hopital's Rule for non fraction.

    You take the logarithm: find \lim_{x\to{0}}}\ln\left((1-5x)^{\frac{1}{x}}\right)=\lim_{x\to{0}}}\frac{\ln(  1-5x)}{x} and if the answer is L, the answer to the original problem is e^L.

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