Answer
The test is inconclusive.
Work Step by Step
We have: $\lim\limits_{n \to \infty} \dfrac{n}{n^2+3}$
We can see that the degree of the denominator is more than the numerator, so:
$\lim\limits_{n \to \infty} \dfrac{n}{n^2+3}=0$
Hence, the test is inconclusive.