Unit 10 Infinite Sequences Series

Series Convergence Tests

Master the convergence tests for infinite series including the nth-term test, geometric series test, p-series test, integral test, comparison tests, limit comparison test, alternating series test, ratio test, and root test. Learn when to apply each test, understand their conditions and conclusions, and develop strategies for determining whether ∑aₙ converges or diverges. Practice identifying series types and selecting the most efficient test.