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Real analysis

  1. May 11, 2008 #1
    Q1. f is a continuous real valued function on [o,oo) and a is a real number
    Prove that the following statement are equivalent;
    (i) f(x)--->a, as x--->oo
    (ii) for every sequence {x_n} of positive numbers such that x_n --->oo one has that
    (1/n)\sum f(x_k)--->a, as n--->oo (the sum is taken from k=1 to k=n)
     
  2. jcsd
  3. May 11, 2008 #2

    HallsofIvy

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    This is YOUR problem- you are the one who will benefit by doing it. You show us what you have done so far and we will help.
     
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