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Suppose that a, b, c > 0 such that abc = 1. Prove that \frac{ab}{ab + a^5 + b^5} + \frac{bc}{bc + b^5 + c^5} + \frac{ca}{ca + c^5 + a^5} \leq 1.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
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