THEOREM 10.15 Limit Comparison Test Let Ea, and Eb, be series with positive terms and let lim L. 1. If 0 < L < ∞ (that is, L is a finite positive number), then Ea, and Eb, either both converge or both diverge. 2. If L = 0 and Eb, converges, then Ea, converges. 3. If L = ∞ and Eb, diverges, then Ea, diverges. 1 + cos? k k – 3 k=4
THEOREM 10.15 Limit Comparison Test Let Ea, and Eb, be series with positive terms and let lim L. 1. If 0 < L < ∞ (that is, L is a finite positive number), then Ea, and Eb, either both converge or both diverge. 2. If L = 0 and Eb, converges, then Ea, converges. 3. If L = ∞ and Eb, diverges, then Ea, diverges. 1 + cos? k k – 3 k=4
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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Use the Comparison Test or the Limit Comparison Test to determine whether the following series converge.
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