gence divergence of the series. 14. 13. У n+1 4 + 1 2n + 16. 15. Y 5 +1 0 Vn- +1 2n2 - 1 1 18. 17. 3n + 2n + 1 n2(n + 3) 80

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Using the Limit Comparison Test In Exercises 13-
use the Limit Comparison Test to determine the convergence or
ine the coweverg
Using
use the Direct Comparise
or divergence of the series,
Determining Convergence or Divergence In Exercises
relees 1
of the
of the
4.
3n + 2
2n
6. 2
5 + 3
5.
In n
7.
ndes
78 of
the
10.
4/n
9.
12. S
2
the
11.
whe
divergence of the series.
5
14. Ž
13.
n² + 1
4" + 1
n=1
2 + 1
16.
15.
5 + 1
n=1
2n2 - 1
1
18.
17.
3n + 2n + 1
n2(n + 3)
20.
19. 2n2 + 1
(n + 1)2"-1
n= 1
n= 1
1
sin
8.
21. * + 1'
k > 2
22.
n=1
Determining Convergence or Divergence In Exervice
23-30, test for convergence or divergence, using each test a
least once. Identify which test was used.
(a) nth-Term Test
(b) Geometric Series Test
(c) p-Series Test
(d) Telescoping Series Test
(e) Integral Test
(f) Direct Comparison Test
(g) Limit Comparison Test
23.
24. E
3.
n=1
n=0
1
1
5.
26.
5" + 1
n3 - 8
n=1
n=2
2n
7.
28.
Transcribed Image Text:Using the Limit Comparison Test In Exercises 13- use the Limit Comparison Test to determine the convergence or ine the coweverg Using use the Direct Comparise or divergence of the series, Determining Convergence or Divergence In Exercises relees 1 of the of the 4. 3n + 2 2n 6. 2 5 + 3 5. In n 7. ndes 78 of the 10. 4/n 9. 12. S 2 the 11. whe divergence of the series. 5 14. Ž 13. n² + 1 4" + 1 n=1 2 + 1 16. 15. 5 + 1 n=1 2n2 - 1 1 18. 17. 3n + 2n + 1 n2(n + 3) 20. 19. 2n2 + 1 (n + 1)2"-1 n= 1 n= 1 1 sin 8. 21. * + 1' k > 2 22. n=1 Determining Convergence or Divergence In Exervice 23-30, test for convergence or divergence, using each test a least once. Identify which test was used. (a) nth-Term Test (b) Geometric Series Test (c) p-Series Test (d) Telescoping Series Test (e) Integral Test (f) Direct Comparison Test (g) Limit Comparison Test 23. 24. E 3. n=1 n=0 1 1 5. 26. 5" + 1 n3 - 8 n=1 n=2 2n 7. 28.
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