if $\lim_{k\to \infty} a_k=0$, with $a_k \geq 0$, then $\lim_{n\to \infty} \frac{1}{n}\sum_{k=0}^n a_k =0$?
If $(x_n) \to 0$ then $\lim_{n \to \infty}\frac{x_1+x_2+x_3+...+x_n}{n}=0$
Please see this to get a proof of Cesaro convergence
if $\lim_{k\to \infty} a_k=0$, with $a_k \geq 0$, then $\lim_{n\to \infty} \frac{1}{n}\sum_{k=0}^n a_k =0$?
If $(x_n) \to 0$ then $\lim_{n \to \infty}\frac{x_1+x_2+x_3+...+x_n}{n}=0$
Please see this to get a proof of Cesaro convergence