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Math Help - urgent help: limit

  1. #1
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    urgent help: limit

    lim [tan(sinx)- sin(tanx)]/x^7, x -->0

    Thanks a lot
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  2. #2
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    Quote Originally Posted by meongao View Post
    lim [tan(sinx)- sin(tanx)]/x^7, x -->0

    Thanks a lot
    Firstly, I would substitute y = x^7 into that formula, where you would get

    \lim_{y\to 0} \frac{\tan(\sin(y^{1/7})) - \sin(\tan(y^{1/7}))}{y}

    Then, use L'Hopital's rule to get rid of the denominator. I hope that helps.
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