- #1
wnvl
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[tex]a,b,c,d\in\mathbb{R^{+}}\;\;,a+b+c+d=1.[/tex]
Then prove that
[tex]\left( a+\dfrac{1}{b}\right).\left(b+\dfrac{1}{c}\right).\left(c+\dfrac{1}{a}\right)\geq \left(\dfrac{10}{3}\right)^3[/tex]
Anyone an idea on how to start with this exercise?
Then prove that
[tex]\left( a+\dfrac{1}{b}\right).\left(b+\dfrac{1}{c}\right).\left(c+\dfrac{1}{a}\right)\geq \left(\dfrac{10}{3}\right)^3[/tex]
Anyone an idea on how to start with this exercise?