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# Simple but lengthy

Let $$x,y$$ and $$z$$ be positive numbers such that their harmonic mean is $$h$$, and the harmonic mean of $$1+x,1+y,1+z$$ is $$H$$. Show that $$H\geq 1 +h$$.

Note by Alpha Beta
1 year, 4 months ago

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Oh, that's a nice question. I think that with the right approach, it need not be lengthy. Staff · 1 year, 4 months ago