1^2+2^2+3^2 + ... + n^2

1. решить

2. составить алгоритм

An=6^n (n^2-1) / n! An+1=6^n+1 ((n+1) ^2-1) / (n+1) !

lim n->∞ An+1/An = 6^n+1 ((n+1) ^2-1) / (n+1) !*n!/6^n (n^2-1) =

lim n->∞ 6^n6 ((n+1) ^2-1) 1*2*3 ... * n/1*2*3 ... * n (n+1) * 6 * (n^2-1) =

6lim n->∞ (n+1) ^2-1 / (n+1) (n^2-1) = 6lim n->∞n^2+2n+1-1 / (n+1) (n^2-1) =

6lim n->∞ n (n+2) / (n+1) (n^2-1)