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

Relations and Functions - Part 2

Solution:

Correct answer is '1006'