Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

badreferences

  • 4 years ago

Here's your math challenge of the day. Let (a_n) be a sequence of positive real numbers, decreasing and the sum of whose terms are infinite. Prove that the series whose general term is min(a_n) is also divergent. Taken from AoPS, and by extension, the German TST. It's a pretty problem.

  • This Question is Closed
  1. badreferences
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Sorry, I mean min(a_n, 1/n)

  2. badreferences
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    X3 bad typo

  3. TheWriter
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ....

  4. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy