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Homework Statement
prove: lim x_n = L. Then
[tex]\lim_{n\to\infty}\frac{x_1+\cdots+x_n}{n}=L[/tex]
Homework Equations
The Attempt at a Solution
i don't know abolutely. i tried definition
[tex]\left|\frac{x_1+\cdots+x_n}{n}-L\right|=\frac{1}{n}\left|(x_1-L)+\cdots+(x_n-L)\right|[/tex]