Question 151
Prove that for $n \ge 1$ the following inequality holds
$$
1 + \frac{5}{6n - 5} \le 6^{1/n} \le 1 + \frac{5}{n}.
$$
$$
1 + \frac{5}{6n - 5} \le 6^{1/n} \le 1 + \frac{5}{n}.
$$
MathNet 2022-part-04 — 197 problems (EN–VI) Question 151
Math Olympiad Vault · MathNet 2022-part-04 — 197 problems (EN–VI)