The Divergence Test: You are given the sequence an, graphed below, and the fact that lim n?? an ? 0. 19sp-series-div-test Answer these questions about the series ? n=0 an. Would you describe this series as having a tail or not? It has a tail. It does not have a tail. Which of these sentences is most accurate? The sequence of terms does not approach zero, so the series must diverge. The sequence of terms approaches zero, so the series must converge. The sequence of terms approaches zero, but we can't tell if the series converges.