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Math Help - two convergent sequences, limit of their product

  1. #1
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    two convergent sequences, limit of their product

    Hello.


    Could someone help me prove the following?


    \lim_{n \to  \infty }  \frac{a_1b_n + a_2b_{n-1}+ ... + a_nb_1}{n} = ab

    What theorem should I use. Toeplitz's theorem doesn't seem to be helpful.
    Last edited by wilhelm; December 9th 2012 at 01:16 AM.
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