10. Determine whether the following p-series are convergent or divergent. J tify your answer. (a) MAT n=₁ n³ ê n=1 iM8 4 (0)2 +/ TL=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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Solve 10 a determine whether the following p series are convergent or divergent
9. Use the divergence test to determine whether the serie is convergent or di-
vergent. Justify your answer. Turn in at least two problems.
(a)
n=1
n² + 3n-1
4n² + 5n +3
(2) Σ
n=1
1
n³
8
(2) Σ
n=1
(b)
10. Determine whether the following p-series are convergent or divergent. Ju
tify your answer.
2
4n + 5
∞ 2
(b) Σ
n=1
n
n=1
(b)
vn
An + 5
n²-3
n=1
11. Use the Integral Test to determine whether the series is convergent
vergent. Make sure to check the assumptions of the test first. Justify
answer. Turn in at least two problems.
1
(3n-1)4
(c) Σ
n=1
Ο
Page 2
n=1
n²
√n
∞
(0) Σ
n=
Transcribed Image Text:9. Use the divergence test to determine whether the serie is convergent or di- vergent. Justify your answer. Turn in at least two problems. (a) n=1 n² + 3n-1 4n² + 5n +3 (2) Σ n=1 1 n³ 8 (2) Σ n=1 (b) 10. Determine whether the following p-series are convergent or divergent. Ju tify your answer. 2 4n + 5 ∞ 2 (b) Σ n=1 n n=1 (b) vn An + 5 n²-3 n=1 11. Use the Integral Test to determine whether the series is convergent vergent. Make sure to check the assumptions of the test first. Justify answer. Turn in at least two problems. 1 (3n-1)4 (c) Σ n=1 Ο Page 2 n=1 n² √n ∞ (0) Σ n=
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