Question 173
Prove that, for every integer $n \ge 2$,
$$
\sum_{k=2}^{n} \frac{1}{\sqrt[k]{(2k)!}} \ge \frac{n-1}{2n+2}.
$$
$$
\sum_{k=2}^{n} \frac{1}{\sqrt[k]{(2k)!}} \ge \frac{n-1}{2n+2}.
$$
MathNet 2015-part-04 — 191 problems (EN–VI) Question 173
Math Olympiad Vault · MathNet 2015-part-04 — 191 problems (EN–VI)