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Thread: Sum

  1. January 30th 2010, 11:06 AM #1
    PaulDirac2
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    Sum

    Does \sum_{n=0}^{\infty} (-1)^n*ln^n(1) equal zero?
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  2. January 30th 2010, 11:13 AM #2
    General
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    Quote Originally Posted by PaulDirac2 View Post
    Does \sum_{n=0}^{\infty} (-1)^n*ln^n(1) equal zero?
    You are asking many questions about sums.

    \sum_{n=0}^{\infty} (-1)^n ln^n(1) = \sum_{n=0}^{\infty} (-ln(1))^n=\sum_{n=0}^{\infty}ln^n(1)=0+0+0+0+0+.... ..=0^{\infty}=0

    Yes it equals zero.
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  3. January 30th 2010, 11:22 AM #3
    PaulDirac2
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    Sums

    Thanks.
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