## University Calculus: Early Transcendentals (3rd Edition)

The nth-term test for divergence states that if $\lim\limits_{n \to \infty} a_n\ne 0$, then $\Sigma _{n=1}^\infty a_n$ diverges. We are given that $\lim\limits_{n \to \infty} a_n=\infty$, so the sum diverges by the n-term test.