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MathNet 2015-part-01 — 191 problems (EN–VI) Question 75

Math Olympiad Vault · MathNet 2015-part-01 — 191 problems (EN–VI)

Question 75

For $x \geq \frac{1}{2}$, what is the largest possible value of the expression
$$
\frac{x^4 - x^2}{x^6 + 16x^3 - 1}?
$$