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

[Nusc]

Homework Statement

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

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

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

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