Answer
Test is Inconclusive.
Work Step by Step
Given: $\lim\limits_{n \to \infty} \dfrac{n}{n^2+3}$
Since, the given series $\lim\limits_{n \to \infty} \dfrac{n}{n^2+3}$
has degree of denominator is less than numerator.
Thus, we have $\lim\limits_{n \to \infty} \dfrac{n}{n^2+3}=0$
Hence, The Test is Inconclusive.