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Infinitely Often

  1. Feb 9, 2005 #1
    Let (R, B, P) be a probability space, where P is some given probability measure. For n = 2, 3, … , define En = (an, bn) where

    an = min { 1/n , (-1)^n + 1/n } and bn = max { 1/n , (-1)^n + 1/n }

    Write the events {En i.o.} and {En almost always}.
    i.o. = infinitely often

    Need help with this... it means that {En i.o.} = {(-1)^n} since its going to be in the limsup, and {En almost always} = {1/n}?
    Last edited: Feb 9, 2005
  2. jcsd
  3. Feb 10, 2005 #2


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    Do not multiple post.
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