Hidden Property Trick of A Specific Function

Algebra Level pending

Given this function: \( f(x) = \frac {2}{2+4^x} \)

Then calculate the value of: \( f(\frac {1}{2014}) + f(\frac {2}{2014}) + f(\frac {3}{2014}) + \ldots + f(\frac {2012}{2014}) + f(\frac {2013}{2014}) \)

=> Write your answer in decimal form using a dot for the decimal point (not a coma.)

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