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 \(H\geq 1 +h\).
1 year, 10 months ago
Oh, that's a nice question. I think that with the right approach, it need not be lengthy.
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Sir can you just post the solution to it.