Classify each series:
I. ∑n=1∞(−1)nn\sum_{n=1}^{\infty} \frac{(-1)^n}{n}∑n=1∞n(−1)n II. ∑n=1∞(−1)nn2\sum_{n=1}^{\infty} \frac{(-1)^n}{n^2}∑n=1∞n2(−1)n III. ∑n=1∞(−1)n⋅nn2+1\sum_{n=1}^{\infty} \frac{(-1)^n \cdot n}{n^2+1}∑n=1∞n2+1(−1)n⋅n
I conditional, II absolute, III diverges
I diverges, II conditional, III absolute
I diverges, II diverges, III conditional