For each series below identify which test could be used to determine convergence or divergence. More than one test may apply to a particular series but you must use each of the tests below at least once. a) nt-term test b) p-series test c) 1. N 2. 3. 4. Geometric series test M8 M8 M8 M8 77=1 n 2n n=13n-2 n n=1(n² + 1)² d) Telescoping series test e) Integral test f) Direct comparison test g) Limit comparison test h) Alternating series test i) Ratio test Answers: 1. 2. 3. 4.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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For each series below identify which test could be used to determine convergence or divergence. More
than one test may apply to a particular series but you must use each of the tests below at least once.
a) nth-term test
b) p-series test
c) Geometric series test
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
M8 M8 M8
11=1
25¹41
n=
n=1
00
n=1
n
00
2n
3n-2
(-1)"
n=on+1
n
(n² + 1)²
00
2¹4)
12-0
00
n=2
1
n²-8
00
Στις
n=1
n+1 n+2,
3
n=1n(n+3)
3
non!
d)
e)
Telescoping series test
Integral test
f) Direct comparison test
g) Limit comparison test
h) Alternating series test
Ratio test
i)
Answers:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Transcribed Image Text:For each series below identify which test could be used to determine convergence or divergence. More than one test may apply to a particular series but you must use each of the tests below at least once. a) nth-term test b) p-series test c) Geometric series test 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. M8 M8 M8 11=1 25¹41 n= n=1 00 n=1 n 00 2n 3n-2 (-1)" n=on+1 n (n² + 1)² 00 2¹4) 12-0 00 n=2 1 n²-8 00 Στις n=1 n+1 n+2, 3 n=1n(n+3) 3 non! d) e) Telescoping series test Integral test f) Direct comparison test g) Limit comparison test h) Alternating series test Ratio test i) Answers: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.
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