How Do I Apply Binomial Expansion for x^{-1/2}(2-x)^{-1/2} Approximations?

[Nusc]

Homework Statement

$$x^{-1/2}(2-x)^{-1/2}$$

1) approximate to lowest order in x
2) approximate to next order in x

Do I apply the binomial expanion?

Homework Equations

The Attempt at a Solution

 

[LCKurtz]

That seems like a good idea.

 

[Nusc]

$$<br /> x^{-1/2}(2+x/2)<br />$$

$$<br /> 2x^{-1/2}(1/2+x^{1/2})<br />$$

lowest order is 2x^(-1/2)?