JBMO 2003 Problem 4

Let $x, y, z > -1$ . Prove that $\frac{1+x^2}{1+y+z^2} + \frac{1+y^2}{1+z+x^2} + \frac{1+z^2}{1+x+y^2} \geq 2.$ Laurentiu Panaitopol

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Solutions

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