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  • 21:24, 4 August 2013 T (talk | contribs) uploaded File:Fracit05t150.jpg (Iterate of linear fraction; $\displaystyle f(z)=\frac{x}{c+z}$ at $c\!=\!0.5$. In general the $n$th iterate of $f$ can be expressed as follows: $\displaystyle f^n(z)=\frac{z}{c^n+\frac{1-c^n}{1-c} z}$ $y=f^n(x)$ is plotted versus $x$ for vario...)