Show the first three terms in the expansion of #1/(1-(x/2))^3# in ascending powers of x?
It sounds like you are after the Taylor (or Maclaurin) series for this function centered at
Newton's generalized binomial theorem says that, if
(this truncates to a finite sum that converges for all
Simplifying this gives
This converges for
Take the first three of these terms to get the answer that is requested.