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Is this a correct use of the Order Limit Theorem?

  1. Sep 13, 2011 #1
    1. The problem statement, all variables and given/known data

    2. Relevant equations
    Order Limit Theorem:

    Assume [itex] \lim a_n = a [/itex] and [itex] \lim b_n = b [/itex].

    (ii) If [itex]a_n \leq b_n[/itex], for all [itex]n \in \mathbf{N}[/itex], then [itex]a \leq b[/itex]

    3. The attempt at a solution

  2. jcsd
  3. Sep 13, 2011 #2


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    Looks fine to me.
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