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Chisinau MO p103 1975 R2 VIII 1/2-1/3+1/4-...+1/1974 - 1/1975 <2/5

Source:

March 16, 2021

inequalitiesalgebra

Problem Statement

Prove the inequality:

\frac{1}{2}-\frac{1}{3}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{1974}-\frac{1}{1975}<\frac{2}{5}