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Algebra
Level
5
Let \(f(x) = \frac {x^3}{1-3x+3x^2} \)
If the value of the expression below can be written in the form of \( \frac {a}{b} \) for coprime positive integers \(a,b\), what is the value of \(a+b\)?
\[ f \left ( \frac {1}{2014} \right ) + f \left ( \frac {1}{2014} \right ) + \ldots + f \left ( \frac {2013}{2014} \right ) \]
by
Thanh Viet