LEARNING GOALS: to use the Alternating Series Test to show a given series converges by verifying the non-alternating part of the general term of the series is positive, decreasing, and has a zero limit; to use the nth Term Divergence Test to show a given series diverges by checking whether the limit at infinity of the general term of the series is 0.
1. Determine whether the following series converge or diverge:
(a) \sum_{n=0}^{\infty} \frac{(-1)^n}{2n + 3}
(b) \sum_{n=2}^{\infty} \frac{(-1)^n \ln(n)}{n^3}
