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Let f(x)=x31−3x+3x2f(x) = \frac {x^3}{1-3x+3x^2} f(x)=1−3x+3x2x3
If the value of the expression below can be written in the form of ab \frac {a}{b} ba for coprime positive integers a,ba,ba,b, what is the value of a+ba+ba+b?
f(12014)+f(22014)+…+f(20132014) f \left ( \frac {1}{2014} \right ) + f \left ( \frac {2}{2014} \right ) + \ldots + f \left ( \frac {2013}{2014} \right ) f(20141)+f(20142)+…+f(20142013)
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