Question 141
Prove that for every natural number $n \geq 2$,
$$
\sum_{k=2}^{n} \frac{1}{\sqrt[k]{(2 k)!}} \geq \frac{n-1}{2 n+2}.
$$
$$
\sum_{k=2}^{n} \frac{1}{\sqrt[k]{(2 k)!}} \geq \frac{n-1}{2 n+2}.
$$
MathNet 2015-part-04 — 191 problems (EN–VI) Question 141
Math Olympiad Vault · MathNet 2015-part-04 — 191 problems (EN–VI)