Question 42
Let $a, b, c$ be positive real numbers such that $a \leq b \leq c \leq 2 a$. Find the maximum possible value of
$$
\frac{b}{a}+\frac{c}{b}+\frac{a}{c}
$$
$$
\frac{b}{a}+\frac{c}{b}+\frac{a}{c}
$$
MathNet 2019-part-08 — 179 problems (EN–VI) Question 42
Math Olympiad Vault · MathNet 2019-part-08 — 179 problems (EN–VI)