Question 14
Determine the maximum value attained by
$$
\frac{x^{4}-x^{2}}{x^{6}+2 x^{3}-1}
$$
over real numbers $x\gt 1$.
$$
\frac{x^{4}-x^{2}}{x^{6}+2 x^{3}-1}
$$
over real numbers $x\gt 1$.
MathNet 2006 — Part 01 Question 14
Math Olympiad Vault · MathNet 2006 — Part 01