Răspuns :

[tex]\it Condi\c{\it t}ia\ \ de\ \ existen\c{\it t}\breve a\ \ este:\\ \\ n^2\geq n+2 \Rightarrow n^2-n-2\geq0 \Rightarrow n^2+n-2n-2\geq0 \Rightarrow \\ \\ \Rightarrow n(n+1)-2(n+1)\geq0 \Rightarrow (n+1)(n-2)\geq0 \Rightarrow n\in\{\ 2,\ 3,\ 4,\ ...\ \} \Rightarrow \\ \\ \Rightarrow n\in\mathbb{N}^*\setminus \{1\}[/tex]