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Thread: two convergent sequences, limit of their product

  1. December 9th 2012, 01:08 AM #1
    wilhelm
    wilhelm is offline
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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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