Consider the series ∑n=1∞an\sum_{n=1}^{\infty} a_n∑n=1∞an. If an=(−1)nna_n = \frac{(-1)^n}{n}an=n(−1)n, which statement is true?
The series converges absolutely.
The series converges conditionally.
The series diverges.
The limit of the terms is not zero.