a. b. C. d. e. (use the Limit Comparison test): f. (use the Alternating Series test): g. h. ∞ πη + 4η ΣΤΗ gn η=1 η=1 1 1 1 1 + + + + 6 12 18 24 Σ ∞ 00 η=1 M8 n=1 Με 8 n=2 ∞ 3 Με n=2 n=2 en η3 1 η1/2 - 1 4. 7. 10. (3n+1) (2η)! (-1)" η1/2 – 1 n(-2)2n 7η(n2 + 1)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
3) Determine if the series is convergent or divergent, and explain:
a.
b.
C.
d.
e. (use the Limit Comparison test):
f. (use the Alternating Series test):
g.
h.
∞
∞
n=1
n=1
1
1 1 1
+ + + +
6 12 18 24
n=1
Σ
M8
Σ³G-9)
3
5n
n=2
85
π" +4"
8n
n=1
∞
n=2
00
n=2
n3
1
n¹/2 - 1
4.7 10... (3n+1)
(2n)!
(-1)"
n¹/2 - 1
n(-2)²n
7n (n² + 1)
Transcribed Image Text:3) Determine if the series is convergent or divergent, and explain: a. b. C. d. e. (use the Limit Comparison test): f. (use the Alternating Series test): g. h. ∞ ∞ n=1 n=1 1 1 1 1 + + + + 6 12 18 24 n=1 Σ M8 Σ³G-9) 3 5n n=2 85 π" +4" 8n n=1 ∞ n=2 00 n=2 n3 1 n¹/2 - 1 4.7 10... (3n+1) (2n)! (-1)" n¹/2 - 1 n(-2)²n 7n (n² + 1)
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