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

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SUMMARY

The discussion focuses on applying binomial expansion to the expression x-1/2(2-x)-1/2 for approximations. The lowest order approximation results in 2x-1/2, while the next order involves further manipulation leading to 2x-1/2(1/2 + x1/2). The participants confirm that binomial expansion is indeed the correct approach for this problem.

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Homework Statement


[tex] x^{-1/2}(2-x)^{-1/2}[/tex]

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

 
Last edited:
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That seems like a good idea.
 
[tex] <br /> x^{-1/2}(2+x/2)<br /> [/tex]

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

lowest order is 2x^(-1/2)?
 

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