Recent content by ciarax

  1. C

    Rational numbers - bounded subset with no least upper bound

    Homework Statement Give an example of a bounded subset of Q which has no least upper bound in Q. Explain why your answer has this property. Homework Equations The Attempt at a Solution [1/8, 1/4, 3/8, 1/2, 5/8, 3/4...infinity] is this correct?
  2. C

    Show convergence using comparison test on sin(1/n)

    so using that its divergent? thanks :)
  3. C

    Show convergence using comparison test on sin(1/n)

    does that give sin(1/n) > 1/2n?
  4. C

    Show convergence using comparison test on sin(1/n)

    does this prove that it is divergent? or how do i go about proving if its convergent/divergent using the comparison test?
  5. C

    Show convergence using comparison test on sin(1/n)

    it was an attempt. i was looking back on my notes and thought that might be right :/ do you have any idea how to complete this?
  6. C

    Show convergence using comparison test on sin(1/n)

    Homework Statement a) Test the following series for convergence using the comparison test : sin(1/n) Explain your conclusion. Homework Equations The Attempt at a Solution i must show f(x)<g(x) in order for it to converge other wise divergence. g(x) = 1/n sin(1/n) >...