Alternating Series Test

AP Calculus · Axiom Academy

Lesson Alternating Series Test Testing series with terms that alternate sign The Alternating Series Test (AST) Error bound: (the first omitted term bounds the error). (alternating harmonic series): b_n = 1/n is decreasing and . It converges (to ). AST requires: decreasing b_n and The alternating harmonic series converges but the harmonic series diverges Error bound is remarkably useful:

This is the written version of the interactive lesson above. See the full AP Calculus course.