## Calculus: Early Transcendentals 8th Edition

Let $c_{n}=\frac{(-1)^{n}}{n6^{n}}$ Then $c_{n}6^{n}=\frac{(-1)^{n}}{n}$, which converges by the Alternating Series Test. and $\sum c_{n}(-6)^{n}$ is diverges, because it is a p-series. Hence, the statement is false.