Finding b_k in a Complex Power Series

[Pyroadept]

Homework Statement

There is a power series
$$\infty$$
$$\sum$$b_k.z^k
n=0

such that

$$\infty$$
(exp(z) - 1)$$\sum$$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

 

[lanedance]

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

$$\sum_{k=0}^{\infty} b_k z^k$$

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