Question 17
Let $f(x) = \frac{x^3}{3x^2 - 3x + 1}$. Compute
$$
f\left(\frac{1}{2012}\right) + f\left(\frac{2}{2012}\right) + \dots + f\left(\frac{2012}{2012}\right).
$$
$$
f\left(\frac{1}{2012}\right) + f\left(\frac{2}{2012}\right) + \dots + f\left(\frac{2012}{2012}\right).
$$