Complex power series question

  • Thread starter Pyroadept
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  • #1
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Homework Statement


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

Homework Equations





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
 

Answers and Replies

  • #2
lanedance
Homework Helper
3,304
2
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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