And So on - and on -and On

'And So on - and on -and On' printed from https://nrich.maths.org/

Let $$ f_{0}(x)= \frac{1}{1-x}$$ and $$f_{n}(x)=f_{0}(f_{n-1}(x))$$ where $n = 1,2, 3, 4, ...$

Evaluate $f_{2000}(2000)$