MathDB

86

Part of 1990 IMO Longlists

Problems(1)

Prove that there exists real number p - ILL 1990 SWE4

Source:

9/19/2010
Given function f(x)=sin⁡x+sin⁡πxf(x) = \sin x + \sin \pi x and positive number dd. Prove that there exists real number pp such that ∣f(x+p)−f(x)∣<d|f(x + p) - f(x)| < d holds for all real numbers xx, and the value of pp can be arbitrarily large.
functiontrigonometryalgebra unsolvedalgebra