# Impossible problem

Algebra Level 3

Let $$f\left( x \right)$$ defined on R, $$f\left( x \right) =\frac { { 4 }^{ x } }{ { 4 }^{ x }+2 }$$. What is the simplified value of $$f\left( \frac { 1 }{ n } \right) +f\left( \frac { 2 }{ n } \right) +...+f\left( \frac { n-1 }{ n } \right) ?$$

This problem is part of the set Hard Equations

×