• zmudz
Prove that if $$x,y,z$$are positive real numbers then the following inequality holds $$\frac {x+y}{x^2+y^2} + \frac {y+z}{y^2+z^2} + \frac {z+x}{z^2+x^2} \leq \frac 1x + \frac 1y + \frac 1z .$$
Mathematics

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