olymmath

IT-CESENATICO 1997 Problem 2

    Let a real function ff defined on the real numbers satisfy the following conditions: (i) f(10+x)=f(10−x)f(10+x) = f(10- x) (ii) f(20+x)=−f(20−x)f(20+x) = - f(20- x) for all xx . Prove that f is odd and periodic.

    Dataset text AI-MO AoPS. Quoted with source.

    Solutions

    No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

    Add a solution

    Similar problems

    These problems have the most words in common with this statement.

    Locator it-cesenatico/1997/p2 · Tag TNNSEB0SAY · Edit this page on GitHub · Keys: j next, k previous