Question 35
(HUN 2) Prove that
$$1+\frac1{2^3}+\frac1{3^3}+\cdots+\frac1{n^3}\lt \frac54.$$
$$1+\frac1{2^3}+\frac1{3^3}+\cdots+\frac1{n^3}\lt \frac54.$$
IMO 1969 - Longlist Problems Question 35
IMO Shortlist · IMO 1969 - Longlist Problems
IMO Shortlist · IMO 1969 - Longlist Problems