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Math Help - fracture of tailor serieses question..

  1. #1
    MHF Contributor
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    fracture of tailor serieses question..



    how do i know till what power do i develop the sinus on the denominator and sinus
    in the numerator so ill get a correct answer.

    because when i developed till x+o(x) i get that the numerator has axes
    with smaller power then the denominator so ill get 0

    but the correct answer is 1/3

    ??
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  2. #2
    Member Mentia's Avatar
    Joined
    Dec 2008
    From
    Bellingham, WA
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    134
    Notice that when you only go to first order you get something of the form:

    \frac {0}{0} or \frac{1}{0} - \frac {1}{0} which is indeterminate.

    Generally, you need to take the series out to sufficient order such that the limit is no longer indeterminate.
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