# My Calculator don't have enough Input Power!

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 $$a+b$$?

$f \left ( \frac {1}{2014} \right ) + f \left ( \frac {2}{2014} \right ) + \ldots + f \left ( \frac {2013}{2014} \right )$

×