Recent content by jeterfan

  1. J

    Solving Convergence Problem: Integrals with Lebesgue Measure

    Ok, I think I can manage that. Thanks!
  2. J

    Solving Convergence Problem: Integrals with Lebesgue Measure

    Homework Statement Consider the integrals \int_1^\infty \frac{k}{x^2+k^p\cos^2x}dm(x), where m is the Lebesgue measure. For what p do the integrands have an integrable majorant? For what p do the integrals tend to 0? Homework Equations The Attempt at a Solution Pick some...