We want to determine if the sequence $\frac{n}{10+8n}$ is monotonic. Using the difference test we get that $s_{n}n\underset{n}{lim}{s}_n=s_{n+1}-s_n=$ Hence the sequence $is$ monotone decreasing The smallest number that $s_{n}is$ less than for every $nis$ hence $\underset{n}{lim}{s}_n=$