(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that if (x_n) is a convergent sequence, then the sequence given by the averages

y_n = (x_1+ x_2 +...+ x_n)/n

also converges to the same limit.

2. Relevant equations

3. The attempt at a solution

I think I need to show that for n >= N, |y_n - lim(x_n)| < e for an arbitrary e > 0. I don't know where t start because y_n involves terms before N.

Any help is appreciated! :)

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# Homework Help: Cesaro Means

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