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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 dont 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]