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Math Help - Evaluate the limit

  1. #1
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    Evaluate the limit



    In The first problem there was suppose to be a arrow instead of a @ sign.

    Not sure where to start, need some help on all three, i'll update as soon as i can get started. Thx
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Johnny Walker Black View Post


    In The first problem there was suppose to be a arrow instead of a @ sign.

    Not sure where to start, need some help on all three, i'll update as soon as i can get started. Thx
    For the first, use the fact that \ln A - \ln B = \ln \frac AB

    For the second, write the function as \frac x{e^x} and apply L'Hopital's rule

    For the third, note that you have \lim_{x \to \infty} x^{1/x} = \lim_{x \to \infty} e^{\ln x^{1/x}} = \lim_{x \to \infty} e^{(\ln x) /x} Now find the limit of the power. Again, L'Hopital's rule comes in handy
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