MathDB
TOT 116 1986 Spring S4 F(x+1)F(x)+F(x+1)+1=0, F not continuous

Source:

August 29, 2019
algebracontinuousanalysisfunctionfunctional equationfunctional

Problem Statement

The function FF , defined on the entire real line, satisfies the following relation (for all xx ) : F(x+1)F(x)+F(x+1)+1=0F(x +1 )F(x) + F(x + 1 ) + 1 = 0 . Prove that FF is not continuous.
(A.I. Plotkin, Leningrad)
Back to ProblemsView on AoPS