# Math Help - sequence and series

1. ## sequence and series

Determine whether the series converges or diverges

(sin^2 n) / (n^2 + 4)

The summation goes from n=1 to n=infinity

2. Hi

$0 \leq \frac{\sin^2 n}{n^2 + 4} \leq \frac{1}{n^2 + 4} \leq \frac{1}{n^2}$

3. Originally Posted by running-gag
Hi

$0 \leq \frac{\sin^2 n}{n^2 + 4} \leq \frac{1}{n^2 + 4} \leq \frac{1}{n^2}$
It is therefor convergent by the P-series Test correct? because we showed that it is <= to 1/n^2 and since the p is greater than 1 it will converge?

4. Yes.