For ∑n=1∞(−1)nnn2+1\sum_{n=1}^{\infty} (-1)^n \frac{n}{n^2 + 1}∑n=1∞(−1)nn2+1n, which statements are true? (Select all that apply)
The series converges conditionally
The series converges absolutely
The Alternating Series Test applies because an=nn2+1a_n = \frac{n}{n^2+1}an=n2+1n is decreasing for large nnn
The series diverges