I'm trying to expand the following as a power series in s but I'm having trouble.
$\frac{\mu(1-s)-(\mu-\beta s)p}{\beta(1-s)-(\mu-\beta s)p}$
and I've rewritten it in the form $1/(1-x)$ where $x = \frac{(\mu - \beta)+s(\beta - \mu)}{(\mu - \mu p)+s(\beta p - \mu)}$
I'm unsure how to proceed.