# Show the first three terms in the expansion of #1/(1-(x/2))^3# in ascending powers of x?

##### 1 Answer

It sounds like you are after the Taylor (or Maclaurin) series for this function centered at

#### Explanation:

Newton's generalized binomial theorem says that, if

(this truncates to a finite sum that converges for all

Since

Simplifying this gives

This converges for

Take the first three of these terms to get the answer that is requested.