# Math Help - Convergent or divergent sequence

1. ## Convergent or divergent sequence

The sequence convergent or divergent ?

$an = {n^2e^{-n}}$

2. Originally Posted by Apprentice123
The sequence convergent or divergent ?

$an = {n^2e^{-n}}$
$a_n = \frac{n^2}{e^n}
$

$\lim_{n \to \infty} a_n = 0$

use L'Hopital

3. Originally Posted by skeeter
$a_n = \frac{n^2}{e^n}
$

$\lim_{n \to \infty} a_n = 0$

use L'Hopital

Thank you