Question

Why \[ \lim_{n \to \infty}|\frac{n^{2}+2n+1}{n^{2}}|=1\]
?

Answer 1

1+2/n+1/n^2
if u put n=infinity
2/n=0
1/n^2=0
thats why.

Answer 2

Because when you work out the division you have:
\[1+\frac{2}{n}+\frac{1}{n^2} \]
As n tends to infinity, the second 2 terms tend to 0, and we are left with 1.

Answer 3

thanks i get it guys

Answer 4

n^2 + 2n+1= (n+1)^2
so (n+1)^2/n^2
(n