Part II: Determine if the following series are convergent or divergent. You should use each of the integral test, the limit comparison test, and the comparison test exactly once. 1 1 (k!)2 (iii) k2 k=1 k2 – 2k k=1 (2k)! k=1 (Hint: The series E * may be useful.) k=1 2k IM:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Part II: Determine if the following series are convergent or divergent. You should use each of the integral test, the
limit comparison test, and the comparison test exactly once.
(k!)²
(iii)
(2k)!
1
1
(i)
(ii)
k2
k=1
k2
k=1
2k
k=1
(Hint: The series E * may be useful.)
Transcribed Image Text:Part II: Determine if the following series are convergent or divergent. You should use each of the integral test, the limit comparison test, and the comparison test exactly once. (k!)² (iii) (2k)! 1 1 (i) (ii) k2 k=1 k2 k=1 2k k=1 (Hint: The series E * may be useful.)
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