9. Which of the following statements about convergence of the series 30 (A) Σ h=] (Β) 1 In(n + 1) 1 n=t In (n + 1) 1 (C) Σ n=j In(n + 1) 1 (D) Σ n=j In(n + 1) · converges by comparison with ΣΕ n=1 1 · converges by comparison with Σ n=1h- diverges by comparison with Σ h=1 diverges by comparison with Σ - 1 n={h= n=j In(n + 1)

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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How is #9 solved?
9.
Which of the following statements about convergence of the series
1
n=j In (n + 1)
(A) Σ
00
(Β) Σ
n=1
1
In(n + 1)
00
1
(C) Σ.
n=j In(n + 1)
00
1
(D) Σ
n=j In(n + 1)
· converges by comparison with Σ'.
1
n=1 h
1
· converges by comparison with Σ -
n=1n
diverges by comparison with
n=1"
8
diverges by comparison with Σ –
h={h
n=1
1
In(n + 1)
is true?
Transcribed Image Text:9. Which of the following statements about convergence of the series 1 n=j In (n + 1) (A) Σ 00 (Β) Σ n=1 1 In(n + 1) 00 1 (C) Σ. n=j In(n + 1) 00 1 (D) Σ n=j In(n + 1) · converges by comparison with Σ'. 1 n=1 h 1 · converges by comparison with Σ - n=1n diverges by comparison with n=1" 8 diverges by comparison with Σ – h={h n=1 1 In(n + 1) is true?
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