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Complex power series question

  1. Oct 20, 2009 #1
    1. The problem statement, all variables and given/known data
    There is a power series
    [tex]\infty[/tex]
    [tex]\sum[/tex]b_k.z^k
    n=0

    such that

    [tex]\infty[/tex]
    (exp(z) - 1)[tex]\sum[/tex]b_k.z^k = z
    n=0
    the infinity and n=0 are meant to be over the sigma, sorry

    Find b_k for k = 0,1,...,7

    2. Relevant equations



    3. The attempt at a solution
    Hi, I'm just wondering - do you think that that n in the sum is meant to be a k? If not, what is n?
    Does the question want me to solve for eight individual cases, or does it want me to sum to 7 instead of to infinity?

    Thanks for any help
     
  2. jcsd
  3. Oct 20, 2009 #2

    lanedance

    User Avatar
    Homework Helper

    i think its probably meant to be a k, here's how you write it (click on tex)

    [tex] \sum_{k=0}^{\infty} b_k z^k [/tex]

    i'm not really sure for the 2nd bit as i can't read your expresison correctly
     
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