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\sum \frac{x}{\sqrt{x^{2}+1}}\leq \frac{3\sqrt{3}}{2}

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kfcchicken98

kfcchicken98

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$x, y, z \geq 0, x+y+z = xyz$, CMR:

$\frac{x}{\sqrt{x^{2}+1}}+\frac{y}{\sqrt{y^{2}+1}}+\frac{z}{\sqrt{z^{2}+1}}\leq \frac{3\sqrt{3}}{2}$


Edited by kfcchicken98, 14-02-2015 - 05:44.





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