Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
Related questions
Question
a-c only
![For each of the following series determine if the series converges or diverges using the indicated test
for series convergence or divergence.
(-1)"-2
(a) Ratio Test: E
n³+n?
(n+1)!
n=0
(e) Alternating Series Test:
3" + 3n
n=0
n+2
1
(b) Ratio Test:
(f) Integral test:
51-n (n + 1)
n In n In(ln n)
n=1
n=3
(g) Comparison Test/Limit Comparison Test:
5n² – 2n + 1'
3n2 + n – 3
/2 + cos² (5n)
Vn² – n – 1
(c) Root Test:
n=2
(1 – sin (n)) (1 + sin (n
n² + 8n +1
4n cos (na)
(d) Alternating Series Test:
(h) Comparison Test
2n2 + 1
n=3
n=1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea343de8-be51-4a33-8c9f-33b2b2588448%2F16d8383a-5e35-43ce-95fe-e03e19907f3b%2Ff10ee8f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For each of the following series determine if the series converges or diverges using the indicated test
for series convergence or divergence.
(-1)"-2
(a) Ratio Test: E
n³+n?
(n+1)!
n=0
(e) Alternating Series Test:
3" + 3n
n=0
n+2
1
(b) Ratio Test:
(f) Integral test:
51-n (n + 1)
n In n In(ln n)
n=1
n=3
(g) Comparison Test/Limit Comparison Test:
5n² – 2n + 1'
3n2 + n – 3
/2 + cos² (5n)
Vn² – n – 1
(c) Root Test:
n=2
(1 – sin (n)) (1 + sin (n
n² + 8n +1
4n cos (na)
(d) Alternating Series Test:
(h) Comparison Test
2n2 + 1
n=3
n=1
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