Question 35
For all real numbers $x$, let
$$
f(x) = \frac{1}{\sqrt[2011]{1 - x^{2011}}}
$$
Evaluate $(f(f(\ldots(f(2011)) \ldots)))^{2011}$, where $f$ is applied 2010 times.
$$
f(x) = \frac{1}{\sqrt[2011]{1 - x^{2011}}}
$$
Evaluate $(f(f(\ldots(f(2011)) \ldots)))^{2011}$, where $f$ is applied 2010 times.