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sosa71
19.08.2019 •
Mathematics
For $x$, $y$, and $z$ positive real numbers, what is the maximum possible value for\[\sqrt{\frac{3x 4y}{6x 5y 4z}} \sqrt{\frac{y 2z}{6x 5y 4z}} \sqrt{\frac{2z 3x}{6x 5y 4z}}
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Ответ:
Infinity
Step-by-step explanation:
Since x,y,z are positive rel numbers, we have that
Hence,
Now let
if we take x=y=1, we have
and so f(1,1,z) tends to infinity as z goes to 0.
Ответ:
based off formatting