# Thread: Another limit of a series

1. ## Another limit of a series

Hi forum members, could you help me with that one ?

2. Originally Posted by azarue
Hi forum members, could you help me with that one ?
You can put this into a sandwich of two sequences that converge to the same limit 1:

$1\leftarrow n\cdot\frac{n}{n^2+n}\leq \frac{n}{n^2+1}+\frac{n}{n^2+2}+\cdots+\frac{n}{n^ 2+n}\leq n\cdot\frac{n}{n^2+1}\rightarrow 1$