An algebra problem by neelesh vij

Algebra Level 5

Let f(x)=x2009f(x) = \dfrac {x}{2009} and g(x)=(f(x))4(1f(x))4+(f(x))4g(x) = \displaystyle \dfrac{(f(x))^4}{(1-f(x))^4 + (f(x))^4}

Then evaluate x=02009g(x)\displaystyle \sum_{x=0}^{2009} g(x)


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