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Which of the following statements is incorrect? A) If a, converges, then n=1 n=1 22 a, also converges. B) If Σa, converges, then a also converges. n=1 n=1 C) If {b} is bounded and Σa, is absolutely convergent then ab, is absolutely Σa,b, n=1 convergent. 00 D) If lim a,, = 0, then Σa" is absolutely convergent. 11-00 n=1

Which of the following statements is incorrect? A) If a, converges, then n=1 n=1 22 a, also converges. B) If Σa, converges, then a also converges. n=1 n=1 C) If {b} is bounded and Σa, is absolutely convergent then ab, is absolutely Σa,b, n=1 convergent. 00 D) If lim a,, = 0, then Σa" is absolutely convergent. 11-00 n=1

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 63RE
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Which of the following statements is incorrect? A) If Ea, converges, then Σ 2 (-1) n=1 O O B a, also converges. 00 B) If 】a, converges, then Σa, also converges. n=1 n=1 00 C) If {b} is bounded and Σa, is absolutely convergent then ab, is absolutely n=1 00 convergent. D) If lim a₁ = 0, then an is absolutely convergent. 12-00 n=1 n=1
Transcribed Image Text:Which of the following statements is incorrect? A) If Ea, converges, then Σ 2 (-1) n=1 O O B a, also converges. 00 B) If 】a, converges, then Σa, also converges. n=1 n=1 00 C) If {b} is bounded and Σa, is absolutely convergent then ab, is absolutely n=1 00 convergent. D) If lim a₁ = 0, then an is absolutely convergent. 12-00 n=1 n=1
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