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

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