Let an=(−1)nn3a_n = \frac{(-1)^n}{\sqrt[3]{n}}an=3n(−1)n. Which of the following is true regarding the series ∑an\sum a_n∑an?
It converges absolutely.
It converges conditionally.
It diverges by the test for divergence.
It converges because limn→∞an=0\lim_{n \to \infty} a_n = 0limn→∞an=0 and is monotonic.