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KöMaL 2015 B4711

    Let f(x)=4x4x+2f(x)=\frac{4^x}{4^x+2}. Calculate the value of the sum f(0/2015)+f(1/2015)+f(2/2015)+⋯+f(2014/2015)+f(2015/2015)f(0/2015)+ f(1/2015)+f(2/2015)+\dots +f(2014/2015)+f(2015/2015).

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