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CMO 1995 Problem 1

  • Paper

Let f(x)=9x9x+3f(x)=\frac{9^x}{9^x + 3} . Evaluate ∑i=11995f(i1996)\sum_{i=1}^{1995}{f\left(\frac{i}{1996}\right)} .

Dataset text AI-MO AoPS. Quoted with source.

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