Inegalitate in numere pozitive

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Mateescu Constantin
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Inegalitate in numere pozitive

Post by Mateescu Constantin »

Fie \( x_1,\ x_2,\ ...,\ x_n \) numere reale strict pozitive.

Demonstrati ca: \( \frac{1}{1+x_1}+\frac{1}{1+x_1+x_2}+...+\frac{1}{1+x_1+...+x_n}<\sqrt{\frac{1}{x_1}+\frac{1}{x_2}+...+\frac{1}{x_n}. \)
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alex2008
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Post by alex2008 »

Vezi aici.
. A snake that slithers on the ground can only dream of flying through the air.
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Marius Mainea
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Post by Marius Mainea »

Sau aici si aici.
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