1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Subsequences that converge to different values

  1. Sep 28, 2010 #1
    1. The problem statement, all variables and given/known data

    Is it possible to have a sequence that contains subsequences converge to every point in the infinite set {1, 1/2, 1/3,...}? If possible, then give an example; if not, give an argument.

    2. Relevant equations

    3. The attempt at a solution

    I don't think it's possible. But I don't know how to argue that.
    Any help is appreciated!
  2. jcsd
  3. Sep 28, 2010 #2
    There is already a thread on the same issue on the first page in this section.

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook