$\displaystyle f_{o}(x)=\frac{1}{1-x}$
Let $\displaystyle f_{r}(x)=f(f(f(...(f(x))...))$
Where there are r iterations of the function
So $\displaystyle f_{2}(x)=f(f(f(x)))$
Evaluate $\displaystyle f_{2013}(\pi )$
$\displaystyle f_{o}(x)=\frac{1}{1-x}$
Let $\displaystyle f_{r}(x)=f(f(f(...(f(x))...))$
Where there are r iterations of the function
So $\displaystyle f_{2}(x)=f(f(f(x)))$
Evaluate $\displaystyle f_{2013}(\pi )$