Limite quand \(n\) tend vers \(+\infty\) de
1
\(\frac{\sin n}{n}\),
2
\(\left(1+\frac{1}{n}\right)^n\),
3
\(\frac{n!}{n^n}\),
4
\(\frac{E\left((n+\frac{1}{2})^2\right)}{E\left((n-\frac{1}{2})^2\right))}\),
5
\(\sqrt[n]{n^2}\),
6
\(\sqrt{n+1}-\sqrt{n}\),
7
\(\frac{\sum_{k=1}^{n}k^2}{n^3}\),
8
\(\prod_{k=1}^{n}2^{k/2^{2^k}}\).