# Math Help - inifinite sequence

1. ## inifinite sequence

An=(-1)^(n-1)[n]/(n^2 + 1) is the sequence convergent? if so, what's the limit.

2. Originally Posted by twilightstr
An=(-1)^(n-1)[n]/(n^2 + 1) is the sequence convergent? if so, what's the limit.
$a_n = \frac{(-1)^{n-1}n}{n^2+1}$

look at the main part of the nth term ...

as $n \to \infty$ , $\frac{n}{n^2+1} \to 0$