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Help Determining which Maclaurin Series to use for this Problem

  1. May 4, 2014 #1
    1. The problem statement, all variables and given/known data

    Problem is attached in this post.

    2. Relevant equations

    Problem is attached in this post.

    3. The attempt at a solution

    I came up with the function (1+x)^1/n and tried to derive a maclaurin series out o fit but to no avail, I can't determine what maclaurin series to use.
     

    Attached Files:

  2. jcsd
  3. May 5, 2014 #2

    lurflurf

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    Use the binomial series
     
  4. May 5, 2014 #3
    If you haven't already realized it, binomial coefficients can be generalized to take fractional values. Namely

    [tex]\binom{p/q}{m}=\frac{\frac{p}{q}(\frac{p}{q}-1)...(\frac{p}{q}-m+1)}{m!}[/tex].

    And furthermore, note that

    [tex]\binom{p/q}{1}=\frac{p}{q}[/tex]
     
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