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Math Help - Find the period

  1. #1
    Super Member dhiab's Avatar
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    Find the period

    Find the period of the function :
     <br />
\forall x\in \Re :f(x+1)=\frac{1}{1-f(x)}<br />
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  2. #2
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    f(x+1)=\frac{1}{1-f(x)}<br />

    f(x+2)=\frac{1}{1-f(x+1)} = 1 - \frac{1}{f(x)}

    f(x+3)=\frac{1}{1-f(x+2)} = \frac{1}{1 - {(1-{\frac{1}{f(x)}}})} = f(x)


    so period = 3
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