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Let (-1)n-1un be an alternating series. The Alternating Series Test (AST) has 3 conditions to check for convergence. They are: O (1) un can alternate. (2) un≥ Un+1. (3) lim un=0. n→∞ O (1) un≥ 0 for all n. (2) Un≥ Un+1 for n large enough. (3) lim un=0. n18 O (1) un≥ 0 for all n. (2) uns Un+1 for n large enough. (3) lim un=0. n18 O (1) un≥ 0 for all n. (2) un≥ Un+1 for n large enough. (3) lim un 0. n-m

Let (-1)n-1un be an alternating series. The Alternating Series Test (AST) has 3 conditions to check for convergence. They are: O (1) un can alternate. (2) un≥ Un+1. (3) lim un=0. n→∞ O (1) un≥ 0 for all n. (2) Un≥ Un+1 for n large enough. (3) lim un=0. n18 O (1) un≥ 0 for all n. (2) uns Un+1 for n large enough. (3) lim un=0. n18 O (1) un≥ 0 for all n. (2) un≥ Un+1 for n large enough. (3) lim un 0. n-m

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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Let (-1)n-1un be an alternating series. The Alternating Series Test (AST) has 3 conditions to check for convergence. They are: O (1) un can alternate. (2) un≥ Un+1. (3) lim_ un=0. n→∞ O (1) un≥ 0 for all n. (2) Un≥ Un+1 for n large enough. (3) lim un=0. n→∞ (1) un≥ 0 for all n. (2) Un≤ Un+1 for n large enough. (3) lim un=0. n→∞ O (1) un≥ 0 for all n. (2) un≥ Un+1 for n large enough. (3) lim un‡0. n→∞
Transcribed Image Text:Let (-1)n-1un be an alternating series. The Alternating Series Test (AST) has 3 conditions to check for convergence. They are: O (1) un can alternate. (2) un≥ Un+1. (3) lim_ un=0. n→∞ O (1) un≥ 0 for all n. (2) Un≥ Un+1 for n large enough. (3) lim un=0. n→∞ (1) un≥ 0 for all n. (2) Un≤ Un+1 for n large enough. (3) lim un=0. n→∞ O (1) un≥ 0 for all n. (2) un≥ Un+1 for n large enough. (3) lim un‡0. n→∞
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