For which of the series below the Integral Test can be used to determine whether the series is convergent? cos (Tn) (1) ΣΩ n cos² (ii) Σ=1 "n n=1 1+n (iii) Σn=2 n in n 1 (i) and (ii) only (i) only O (iii) only

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 25RE
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For which of the series below the Integral Test can be used to determine whether the series is
convergent?
cos(Tn)
(i) Σn=1
n
cos² n
(ii) ΣΩ 1+n²
1
(iii) Ση=2 n in n
(i) and (ii) only
(i) only
(iii) only
O (ii) only
O (ii) and (iii) only
Transcribed Image Text:For which of the series below the Integral Test can be used to determine whether the series is convergent? cos(Tn) (i) Σn=1 n cos² n (ii) ΣΩ 1+n² 1 (iii) Ση=2 n in n (i) and (ii) only (i) only (iii) only O (ii) only O (ii) and (iii) only
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