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MathNet 2010 — Part 04 Question 38

Math Olympiad Vault · MathNet 2010 — Part 04

Question 38

**XI-A2** If $a, b, c$ are positive real numbers satisfying condition $a^2 + b^2 + c^2 = 3$
$$
\frac{a}{a^2 + 2b + 3} + \frac{b}{b^2 + 2c + 3} + \frac{c}{c^2 + 2a + 3} \le \frac{1}{2}
$$
confirm that.