Assess students' ability to determine whether a variety of infinite series converge or diverge by selecting the most appropriate convergence test (comparison/limit comparison, ratio, root, integral, alternating/Leibniz), applying it correctly, and giving a clear, rigorous justification. Include series such as p-series, geometric, alternating, factorial/exponential terms, and those suited to the integral test; require statement of test conditions, limit or inequality work, and conclusion about divergence, absolute convergence, or conditional convergence.