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Math Help - Limit

  1. #1
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    Limit

    l'Hopital's rule needs to be applied. Any help will be greatly appreciated!

    \lim_{x \to \infty}{(x-sinx)(e^{-x^2})}
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  2. #2
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    Thank you for your time. I managed to solve it. I will post the solution once I figure out how to work with the math tag.
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  3. #3
    Bar0n janvdl's Avatar
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    Quote Originally Posted by hasanbalkan View Post
    Thank you for your time. I managed to solve it. I will post the solution once I figure out how to work with the math tag.
    See the LaTeX Tutorial here
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  4. #4
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    1. Convert it to the form infinity/infinity and simplify
    \lim_{x \to \infty} \frac {x-sinx}{e^{x^2}}
    2. Take the derivatives
    \lim_{x \to \infty} \frac {1-cosx}{(e^{x^2})(2x)}
    3. Since 1 - cosx is either some constant or zero and the denominator is infinity, there are two cases. Either constant/infinity or zero/infinity both of which equal to zero.
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  5. #5
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    Quote Originally Posted by janvdl View Post
    See the LaTeX Tutorial here
    Thank you janvdl. It is really intuitive. I managed to do it just by looking at other people's postings.
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