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Ascending powers math help

  1. Feb 12, 2010 #1
    1. The problem statement, all variables and given/known data
    Show that the first three non-zero terms in the series expansion of (1-1/n)^1/n in ascending powers of 1/n are 1-(1/n)^2-1/2(1-n)^3 and find the term in (1/n)^4


    2. Relevant equations

    Macclaurin? Taylor?

    3. The attempt at a solution

    Can someone please point me on where I should touch this problem? I don't think I understand the problem correctly.
     
  2. jcsd
  3. Feb 12, 2010 #2

    Dick

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    Science Advisor
    Homework Helper

    Re: Series

    Taylor series. Take 1/n=x to be a number near zero. Expand (1+x)^(x) around x=0. Hint: that's exp(x*log(1+x)).
     
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