Absolute vs Conditional Convergence

AP Calculus · Axiom Academy

Lesson Absolute vs Conditional Convergence Understanding two different types of convergence converges absolutely if converges. converges conditionally if converges but diverges. : converges (p-series, p=2 ). So absolutely convergent . : diverges, but the alternating series converges. So conditionally convergent . Absolute convergence convergence Conditional convergence is "fragile" — rearranging terms can change the sum! Ratio and root tests automatically test for absolute convergence

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