I'm suppose to use the Taylor series at x = 0 for

$\displaystyle

\frac{1}{1-x} which, I believe, is 1 + x + x^2 + x^3 + ...,

$

for the following function: $\displaystyle \frac{x}{1 + x^3}$

I have no idea how I 'apply' the first to the second. What does that mean?

What does $\displaystyle

\frac{1}{1-x} = 1 + x + x^2 + x^3 + ...,

$

have to do with the second function and how do I 'apply' it?