prove that if $\lim\limits_{n\to\infty}(a_{n+1}-a_{n})$ exist then $\lim\limits_{n\to\infty}\frac{a_{n}}{n}=\lim\limits_{n\to\infty}(a_{n+1}-a_{n})$
Limit of $b_n$ when $b_n=\frac{a_n}{n}$ and $\lim\limits_{n\to\infty}(a_{n+1}-a_n)=l$