Hello,

Can you help with finding the first 5 terms of a Laurent Series centered at z0 = 0 for (1/e^z-1) using power series divison?

Thank you

Printable View

- Apr 18th 2010, 03:22 PMvilla223Analysis Question
Hello,

Can you help with finding the first 5 terms of a Laurent Series centered at z0 = 0 for (1/e^z-1) using power series divison?

Thank you - Apr 19th 2010, 03:29 AMHallsofIvy
Since $\displaystyle e^z= \sum_{n=0}^\infty \frac{z^n}{n!}$, $\displaystyle e^z- 1= \sum_{n=1}^\infty \frac{z^n}{n!}$.

Divide 1 by that power series.