Question

Let $f(x)=\frac{9^x}{9^x+3}$ then find the value of
$\left[f\left(\frac{1}{2014}\right)+f\left(\frac{2}{2014}\right)+f\left(\frac{3}{2014}\right)+\dots \dots \dots \dots +f\left(\frac{2013}{2014}\right)\right]$
[Note: where $[y]$ denotes greatest intger function less than or equal to $y$.]

Answer 1

Answer: 1006