- #1

Szichedelic

- 29

- 0

## Homework Statement

Find a power series expansion about x = 0 for the function

f(x) = [itex]^{1}_{0}\int\frac{1 - e^{-sx}}{s}[/itex] ds

## Homework Equations

The power series expansion for a function comes of the form f(x) = [itex]^{\infty}_{0}\sum a_{k}x^{k}[/itex]

## The Attempt at a Solution

I've tried several things to start off with but quickly end up hitting a dead end road. First, I tried just simply taking the integral, but quickly found it isn't defined at 0 (hence why they are asking me to find a power series expansion for it). Then, I tried finding a power series expansion for the innerpart of the integral and ran into the same problem.