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Math Help - limit

  1. #1
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    limit

    I'm trying to find the limit of this function as x tends to 0 but I'm completely unsure of how to proceed. I can't seem to find any identities that would allow me remove the denominator. Any idea about how to go about it?

    \frac{3 + cos{x} - 4e^{2e}}{1 + sin{3x} - cos{3x} + x}
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  2. #2
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    Re: limit

    Quote Originally Posted by alyosha2 View Post
    I'm trying to find the limit of this function as x tends to 0 but I'm completely unsure of how to proceed. I can't seem to find any identities that would allow me remove the denominator. Any idea about how to go about it?

    \frac{3 + cos{x} - 4e^{2e}}{1 + sin{3x} - cos{3x} + x}
    As this is an indeterminate form at the limit (0/0) you are probably expected to use L'hopital's rule.

    An alternative is to try small angle approximations.

    .
    Last edited by zzephod; May 24th 2013 at 07:52 AM.
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