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Math Help - Period

  1. #1
    Super Member dhiab's Avatar
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    Period : 1

    Find the period for the function f in R:
    f(x+1)=\frac{1}{1-f(x)}
    Last edited by dhiab; November 5th 2009 at 08:41 PM.
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  2. #2
    MHF Contributor red_dog's Avatar
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    f(x+2)=\frac{1}{1-f(x+1)}=\frac{1}{1-\displaystyle\frac{1}{1-f(x)}}=\frac{f(x)-1}{f(x)}=1-\frac{1}{f(x)}

    f(x+3)=1-\frac{1}{f(x+1)}=1-1+f(x)=f(x)

    Then the period is 3.
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