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Math Help - Simple Sum

  1. #1
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    Simple Sum

    What is \sum_{n=0}^{\infty} (-1)^n*ln^n(2)/2
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  2. #2
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    Quote Originally Posted by PaulDirac2 View Post
    What is \sum_{n=0}^{\infty} (-1)^n*ln^n(2)/2
    Hello

    \sum_{n=0}^{\infty} (-1)^n \frac{ln^n(2)}{2}=\sum_{n=0}^{\infty} \frac{1}{2} (ln(\frac{1}{2}))^n

    Which is a convergent geometric series.
    First term = \frac{1}{2}
    Common ratio = ln(\frac{1}{2})
    Sum = \frac{\frac{1}{2}}{1-ln(\frac{1}{2})}
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  3. #3
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    Thanks

    Thanks you for helping.
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