14. 16. 8 M8 In n 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

Please solve only question no 14

3.
5.
A = 1
00
7. Σ
9.
10.
11.
12.
13.
15.
n=
Using the Integral Test In Exercises 3-22,
confirm that the Integral Test can be applied to the
series. Then use the Integral Test to determine the
convergence or divergence of the series.
1
00
2
4.
n + 3
3n+ 5
n=1
6. Σ 3-"
2n
A = 1
00
8. Σ
In 6
6
In 6
√6
.
n=1
In 2
2
In 2
√√√2
+
n=1
+
115
+
IM8 M8 +1 w/- 2
+
2
In 3
3
In 3
√√√3
+
+
In 4
4
In 4
√√4
+ +
3
5
+
+
12 19 28
arctan n
n² + 1
In n
+
+
+
In 5
5
In 5
√5
+
+
+
+
14.
16.
n=1
+
ne-n/2
In n
n=
00
1
n=2 n√√Inn
Transcribed Image Text:3. 5. A = 1 00 7. Σ 9. 10. 11. 12. 13. 15. n= Using the Integral Test In Exercises 3-22, confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine the convergence or divergence of the series. 1 00 2 4. n + 3 3n+ 5 n=1 6. Σ 3-" 2n A = 1 00 8. Σ In 6 6 In 6 √6 . n=1 In 2 2 In 2 √√√2 + n=1 + 115 + IM8 M8 +1 w/- 2 + 2 In 3 3 In 3 √√√3 + + In 4 4 In 4 √√4 + + 3 5 + + 12 19 28 arctan n n² + 1 In n + + + In 5 5 In 5 √5 + + + + 14. 16. n=1 + ne-n/2 In n n= 00 1 n=2 n√√Inn
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