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Math Help - Compute the following limits (Use l'Hopital's rule)

  1. #1
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    Compute the following limits (Use l'Hopital's rule)

    Compute the following limits (Use l'Hopital's rule):

    x tends to 0

    (i) lim (a^x - 1)/x , where a > 0;

    (ii) lim [log(1 + ax)]/x , where a > 0;

    (iii) lim (1 - cosx)/x^2

    May you please check my answers?

    Answers: (i) ln(a); (ii) a; (iii) 1/2

    Thanks
    Last edited by mr fantastic; May 6th 2010 at 07:08 PM. Reason: Copied title into main body of post.
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  2. #2
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    Quote Originally Posted by feyomi View Post
    x tends to 0

    (i) lim (a^x - 1)/x , where a > 0;

    (ii) lim [log(1 + ax)]/x , where a > 0;

    (iii) lim (1 - cosx)/x^2

    May you please check my answers?

    Answers: (i) ln(a); (ii) a; (iii) 1/2

    Thanks

    Yes, all the answers are correct.

    Tonio
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