[Toán 12] Giá trị lớn nhất,nhỏ nhất

T

truongduong9083

Gợi ý:
$\bullet$ $P \leq \dfrac{x}{x+z}+ \dfrac{y}{y+x}+ \dfrac{z}{z+y}+ \dfrac{y}{y+z}+ \dfrac{z}{x+z}+ \dfrac{x}{x+y} = 3$
Dấu "= " xảy ra khi $x = y = z = 1$
$\bullet$ $P \geq \dfrac{x+y}{x+y+z}+\dfrac{y+z}{x+y+z}+\dfrac{z+x}{x+y+z} = 2$
Dấu "= " xảy ra khi x = y = z = 2
 
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