Question

Решить предел:
lim ( (n+ 1/n)^2 - n^2)
n->oo

Answer 1

(a+b)²=a²+2ab+b²

lim(n²+2n*1/n+1/n²-n²)=lim(n²+2+1/n²-n²)=lim(2+1/n²)=2+(0)=2
n->∞