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Math Help - Quick question about a Limit problem

  1. #1
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    Quick question about a Limit problem

    I need a bit of help with a simple limit:


    \lim_{x\to\infty}\frac{x^2}{e^{x(s + 2)} (s + 2)}


    Do we just use L'Hopital's Rule here twice in order to see that the limit = zero, or is that the wrong way to go about it?
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  2. #2
    Super Member girdav's Avatar
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    Re: Quick question about a Limit problem

    The limit depends on s. What do you know about s?
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  3. #3
    MHF Contributor Siron's Avatar
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    Re: Quick question about a Limit problem

    Edit
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    Re: Quick question about a Limit problem

    Quote Originally Posted by girdav View Post
    The limit depends on s. What do you know about s?
    S is something of a non-issue, as this limit came up as part of a Laplace transformation. I believe that zero is the correct answer to this limit - I just wanted to double check that the way I would go about it is valid and correct, or if my methodology was flawed, how else was I supposed to do it?
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  5. #5
    MHF Contributor Siron's Avatar
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    Re: Quick question about a Limit problem

    L'hopital's rule is correct to use here.
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  6. #6
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    Re: Quick question about a Limit problem

    Thanks!
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