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IKMC 2011 - Grades 11-12 - Paper 01 - Self-study Question 23

IKMC · IKMC 2011 - Grades 11-12 - Paper 01 - Self-study

Question 23

The functions satisfy $f_1(x)=x$ and $f_{n+1}(x)=1/(1-f_n(x))$. Find $f_{2011}(2011)$.
  1. $2011$
  2. $-1/2010$
  3. $2010/2011$
  4. $1$
  5. $-2011$