Lim (x->infinity)((x+2)!+(x+1)!)/((x+2)!-(x+1)!)

Question

Lim (x->infinity)((x+2)!+(x+1)!)/((x+2)!-(x+1)!)

Answer 1

(x+2)!+(x+1)! = (x+1)!(x+2)

(x+2)!-(x+1)! = (x+1)!(x+1)

 Откуда

lim x-> +oo (x+2)/(x+1) = 1+1/(x+1) = 1+0 = 1