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

The sum of a geometric series can be found as: $S=\dfrac{a}{1-r}$ As $n \to \infty$, the series $\lim\limits_{n \to \infty} (-1)^{n+1} n\ne 0$ Hence, the series $\lim\limits_{n \to \infty} (-1)^{n+1} n$ diverges