INEQUALITY'S BLOG

July 11, 2011

Problem 219 (van khea)

Filed under: Problem by Van Khea — KKKVVV @ 10:46 pm

Let a, b, c>0 and a+b+c=3. Prove that
\displaystyle \frac{1}{a^2b+2}+\frac{1}{b^2c+2}+\frac{1}{c^2a+2}\geq 1

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