(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

State and prove a natural generalization of "prove that for any three positive real numbers x_{1}, x_{2}, x_{3}, x_{1}/x_{2}+ x_{2}/x_{3}+ x_{3}/x_{1}[itex]\geq[/itex] 3.

2. Relevant equations

AG Inequality is used in subproof (x_{1}/x_{2}+ x_{2}/x_{3}+ x_{3}/x_{1}[itex]\geq[/itex] 3)

3. The attempt at a solution

I don't know what the book means exactly by a "natural generalization". Does it want me to prove the original AG Inequality or relate it somehow to this specific instance of the AG Inequality?

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# Homework Help: State and prove a natural generalization

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