An algebra problem by neelesh vij

Algebra Level 4

Let \(f(x) = \dfrac {x}{2009}\) and \(g(x) = \displaystyle \dfrac{(f(x))^4}{(1-f(x))^4 + (f(x))^4}\)

Then evaluate \(\displaystyle \sum_{x=0}^{2009} g(x)\)


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