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!

Showing that two sequences both converges to L

  1. Mar 17, 2010 #1
    1. The problem statement, all variables and given/known data

    Suppose that [tex]a_n \to L[/tex] and [tex]b_n \to L[/tex]. Show that the sequence[tex] a_1, b_2, a_2, b_2, a_3, b_3, ... [/tex]converges to L.

    2. Relevant equations

    3. The attempt at a solution

    I don't know.. how come [tex]b_2[/tex] is repeated? Do I need do use some kind of epsilon type proof?
  2. jcsd
  3. Mar 17, 2010 #2


    User Avatar

    It is probably a typo. Most likely it is supposed to be b1.

    Also, yes an epsilon argument will be most effective. Consider what it means for a sequence to converge. Then from the definitions you can obtain convergence of the new sequence.

    Hint: Use the max function.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Showing that two sequences both converges to L