Lim n->бесконечности 2n^2/n^2+n+1

Question

Lim n->бесконечности 2n^2/n^2+n+1

Answer 1

Lim n->∞ 2n^2/(n^2+n+1) =  Lim n->∞ 2n^2/(n^2+n+1) =   Lim n->∞ 2n^2/n^2/(n^2/n^2+n/n^2+1/n^2) = 2/(1+0+0) = 2  

делим на n^2