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September 21, 2014

September 21, 2014

Posted by **Paul** on Friday, November 7, 2008 at 1:43am.

What approximation do you suppose the engineers and physicists would use for the quantity (1+x)^(3/2)

- Math -
**drwls**, Friday, November 7, 2008 at 6:13amThe approximation is only good when x is much less than 1.

It is obtained from the Taylor series rule

f(x) = f(0) + f'(0) * x

= 1 + (3/2)*(1+x)^(1/2)*x + ...

(evaluated at x=0)

= 1 + (3/2)x

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