Which of the series in Exercises 15–48 converge absolutely, which converge, and which diverge? Give reasons for your answers. 15. E(-1)"+'(0.1)" (0.1)" 16. E(-1y+1. п n=1 n=1 (-1)" – 1)" 17. Σ-1Μ 18. Vn n=11 + Vn n=1 п n! 19. Σ-1y+1. n° + 1 20. E(-1)"+1 2" n=1 n=1 21. E(-1)"- n + 3 sin n 22. E(-1)" n=1 n=1 3 + n (-2)"+1 23. E(-1y"+1. 24. 5 + n n + 5" n=1 n= 25. E(-1y+11 + n 26. E(-1y9**(Vī0) n=1 n=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Question
Which of the series in Exercises 15–48 converge absolutely, which
converge, and which diverge? Give reasons for your answers.
15. E(-1)"+'(0.1)"
(0.1)"
16. E(-1y+1.
п
n=1
n=1
(-1)"
– 1)"
17. Σ-1Μ
18.
Vn
n=11 + Vn
n=1
п
n!
19. Σ-1y+1.
n° + 1
20. E(-1)"+1
2"
n=1
n=1
21. E(-1)"-
n + 3
sin n
22. E(-1)"
n=1
n=1
3 + n
(-2)"+1
23. E(-1y"+1.
24.
5 + n
n + 5"
n=1
n=
25. E(-1y+11 + n
26. E(-1y9**(Vī0)
n=1
n=1
Transcribed Image Text:Which of the series in Exercises 15–48 converge absolutely, which converge, and which diverge? Give reasons for your answers. 15. E(-1)"+'(0.1)" (0.1)" 16. E(-1y+1. п n=1 n=1 (-1)" – 1)" 17. Σ-1Μ 18. Vn n=11 + Vn n=1 п n! 19. Σ-1y+1. n° + 1 20. E(-1)"+1 2" n=1 n=1 21. E(-1)"- n + 3 sin n 22. E(-1)" n=1 n=1 3 + n (-2)"+1 23. E(-1y"+1. 24. 5 + n n + 5" n=1 n= 25. E(-1y+11 + n 26. E(-1y9**(Vī0) n=1 n=1
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