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Homework Help: (Special relativity) Binomial Approximation

  1. Sep 4, 2014 #1
    Use the binomial approximation to derive the following:
    A) γ=1+.5(β^2)
    B)1/γ=1-.5(β^2)
    C)1-(1/γ)=.5(^2)

    I know the approximation is 1+(.5β^2)+(3/8)β^4+...
    A) is self explanatory but not sure how to derive B) and C)
     
  2. jcsd
  3. Sep 4, 2014 #2

    PAllen

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    For C, from B, arithmetic.
     
  4. Sep 4, 2014 #3

    PAllen

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    For B from A, what is expansion of 1/(1+x) ?
     
  5. Sep 4, 2014 #4

    ChrisVer

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