Determine which statements about ∑n=1∞(−1)n+1⋅n(n+1)2\sum_{n=1}^{\infty} \frac{(-1)^{n+1} \cdot n}{(n+1)^2}∑n=1∞(n+1)2(−1)n+1⋅n are TRUE. (Select all that apply.)
The series converges by the Alternating Series Test
The series converges absolutely because ∑n=1∞n(n+1)2\sum_{n=1}^{\infty} \frac{n}{(n+1)^2}∑n=1∞(n+1)2n converges
The series converges conditionally (converges but does not converge absolutely)
The series diverges by the Divergence Test