Hello.

Could someone help me prove the following?

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

What theorem should I use. Toeplitz's theorem doesn't seem to be helpful.

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- Dec 9th 2012, 01:08 AMwilhelmtwo convergent sequences, limit of their product
Hello.

Could someone help me prove the following?

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

What theorem should I use. Toeplitz's theorem doesn't seem to be helpful.