Prove that if x is so small that x^3 and higher powers of x may be neglected that

{[1-x]/[1+x]}^1/2 = 1 - x + 0.5x^2

I just can't get it out. Help please! I have A levels beginning next week!!!!!!!!

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- May 1st 2009, 11:15 AMpresandoProof by use of Maclaurin's Expansion or Binomial Expansion
Prove that if x is so small that x^3 and higher powers of x may be neglected that

{[1-x]/[1+x]}^1/2 = 1 - x + 0.5x^2

I just can't get it out. Help please! I have A levels beginning next week!!!!!!!! - May 1st 2009, 11:52 AMredsoxfan325
- May 1st 2009, 12:01 PMrunning-gag
Hi

You can also separate like this

- May 1st 2009, 12:25 PMpresando
- May 1st 2009, 12:30 PMpresando
- May 1st 2009, 12:33 PMredsoxfan325
You don't need to simplify them, just evaluate them. Even if it's some crazy expression, plugging in shouldn't be

*too*hard.

- May 1st 2009, 12:37 PMpresando