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Engineers and physicists are fond of using the approximation Square root (1+x) = 1+(x/2)?

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

  • Math -

    The 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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