Which of the following infinite series con- es conditionally? 4 1. Σ (-1)* 8k ln(k) + 6 k=1 2. Σ 3. m=1 n=1 8 6m-4 6(-n)" (n + 5)n 8 4. Σ cos(nn) n=1 8 n • Σ (-)* 5. n=1 n 5n 8n + 4/

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
Question

I got 1 3 and 4 as conditionally convergence ,but there is only one correct answer

26.
Which of the following infinite series con-
verges conditionally?
1. Σ (-1)*
k=1
2.
3.
4.
5.
IM8 M8 IM M8
Σ
m=1
8
6m
4
8k: ln(k) + 6
4
6(-n)"
(n + 5)n
cos(nn)
Π
Σ (3)
5η
8η + 4
n
Transcribed Image Text:26. Which of the following infinite series con- verges conditionally? 1. Σ (-1)* k=1 2. 3. 4. 5. IM8 M8 IM M8 Σ m=1 8 6m 4 8k: ln(k) + 6 4 6(-n)" (n + 5)n cos(nn) Π Σ (3) 5η 8η + 4 n
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