Question 42
Show that
$$
\frac{1}{2^{2}}+\frac{1}{3^{2}}+\ldots+\frac{1}{n^{2}}\lt \frac{2}{3}
$$
$$
\frac{1}{2^{2}}+\frac{1}{3^{2}}+\ldots+\frac{1}{n^{2}}\lt \frac{2}{3}
$$
MathNet 1991 — Part 01 Question 42
Math Olympiad Vault · MathNet 1991 — Part 01