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Approximation for -1 exponent expression

  1. Feb 22, 2012 #1
    How do you come up with this approximation?

    [itex][1+H(t-t_0)- \frac{1}{2}qH^2(t- t_0)^2]^{-1}\approx1+ H(t_0-t)+ \frac{1}{2}qH^2(t-t_0)^2+ H^2(t-t_0)^2[/itex]

    Is there a rule that leads to this approximation?
     
    Last edited: Feb 22, 2012
  2. jcsd
  3. Feb 22, 2012 #2

    AlephZero

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    Use the Binomial theorem.

    1/(1 + x) = 1 - x + x^2 ....
     
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