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Homework Help: Prove this version of L'Hopitals theorem

  1. Nov 15, 2008 #1
    I need to prove this version of L'Hopitals theorem.

    If limf(x)=limg(x)=infinity (as x goes to infinity) then lim[f(x)/g(x)]=lim[f'(x)/g'(x)] (as x goes to infinity)

    Any help please?

    Thank you
     
  2. jcsd
  3. Nov 15, 2008 #2

    HallsofIvy

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    Re: L'Hopital

    Have you tried applying L'Hopital's rule to (1/g(x))/(1/f(x))?
     
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