If f(x)=x1−xf(x) = \frac{x}{1-x}f(x)=1−xx for x≠1x \neq 1x=1, evaluate the composition f(f(f(x)))f(f(f(x)))f(f(f(x))).
x1−3x\frac{x}{1-3x}1−3xx
x1−2x\frac{x}{1-2x}1−2xx
xxx
x1+x\frac{x}{1+x}1+xx