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Quandaries & Queries
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 Topic: diverge
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 1+2+4+8....= -1 2012-04-02 From Andy:In this minutephysics video, it's claimed that 1+2+4+8....= -1 Is this true, and if so, how? < href="http://www.youtube.com/watch?v=kIq5CZlg8Rg">http://www.youtube.com/watch?v=kIq5CZlg8RgAnswered by Robert Dawson. Convergent or divergent? 2009-03-03 From Betsy:Use the ratio test to determine if the series is convergent or divergent. 1+1/2^2+1/3^3+1/4^4 I know the general terms are a(n)=1/n^n and a(n+1)=1/(n+1)^(n+1) but I can't simplify r=lim(n->inf.)=n^n/(n+1)^(n+1)Answered by Robert Dawson. 3-3+3-3+3.........up to infinite terms = ? 2008-04-25 From Jatin:3-3+3-3+3.........up to infinite terms = ?Answered by Stephen La Rocque. Sigma from 0 to infinity of (n^3 / 3^n) 2006-11-15 From Cedric:I'm wondering how you would find if this series converges or diverges? Sigma from 0 to infinity of (n^3 / 3^n) Does the n^3 dominate, or does the 3^n dominate? What about higher powers like n^10 / 10 ^ n ? Which one would dominate then?Answered by Penny Nom. Harmonic numbers 2003-03-12 From Becky:What can you tell me about the limit of harmonic numbers as it reaches infinity?Answered by Penny Nom.

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