Functions

Let f : R \(\to\) R be a function defined by \(f(x) = {{2{e^{2x}}} \over {{e^{2x}} + e}}\). Then \(f\left( {{1 \over {100}}} \right) + f\left( {{2 \over {100}}} \right) + f\left( {{3 \over {100}}} \right) + \,\,\,.....\,\,\, + \,\,\,f\left( {{{99} \over {100}}} \right)\) is equal to ______________.