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Thread: find the sum of the series (taylors fomula)

  1. February 8th 2007, 08:22 AM #1
    rcmango
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    find the sum of the series (taylors fomula)

    find the sum of the given series. give answer in simplest form.

    heres the equation: http://img255.imageshack.us/img255/1669/untitledfa5.jpg


    this looks like its associated with the taylor's formula
    need help with this one please.
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  2. February 8th 2007, 09:48 AM #2
    ThePerfectHacker
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    Quote Originally Posted by rcmango View Post
    find the sum of the given series. give answer in simplest form.

    heres the equation: http://img255.imageshack.us/img255/1669/untitledfa5.jpg


    this looks like its associated with the taylor's formula
    need help with this one please.
    The series,
    \sum_{n=0}^{\infty} \frac{(-1)^n x^{2n}}{(2n)!}
    Is the series for \cos x.
    Thus, we simply have x=\pi.
    Thus,
    \cos \pi = -1
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