00 (-1)" Σ 40. п! n=1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
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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Question 40
7th Edition Calculus Single Variable
Page 526 of 745
Which of the series in Exercises 33-36 are alternating?
33. Ž(-1r (2 - )
00
00
34. cos(na)
n=1
n=1
00
00
35. (-1)" cos(nn)
36. (-1)" cos n
n=1
n=1
I In Exercises 37-42, use the alternating series test to decide
whether the series converges.
In
lut
(-1)"-1
Vn
00
37.
(-1)"-1
44.
38.
2n + 1
n=1
n=1
00
(-1)"
(-1)"
40. 2
n!
39.
46.
n2 + 1
n=1
n=1
00
00
41. 2
(-1)"-1
(-1)"-1
42.
48.
n2 + 2n + 1
n=1
en
n=1
n=
43. (a) Decide whether the following series is alternating:
50. >
sin n
Σ
n3
n=1
00
(b) Use the comparison test to determine whether the
following series converges or diverges:
51.
00
00
sin n
Σ
52.
n3
n=1
PROBLEMS
62 1-0.1
In Problems 53-54, explain why the comparison test cannot
Transcribed Image Text:7th Edition Calculus Single Variable Page 526 of 745 Which of the series in Exercises 33-36 are alternating? 33. Ž(-1r (2 - ) 00 00 34. cos(na) n=1 n=1 00 00 35. (-1)" cos(nn) 36. (-1)" cos n n=1 n=1 I In Exercises 37-42, use the alternating series test to decide whether the series converges. In lut (-1)"-1 Vn 00 37. (-1)"-1 44. 38. 2n + 1 n=1 n=1 00 (-1)" (-1)" 40. 2 n! 39. 46. n2 + 1 n=1 n=1 00 00 41. 2 (-1)"-1 (-1)"-1 42. 48. n2 + 2n + 1 n=1 en n=1 n= 43. (a) Decide whether the following series is alternating: 50. > sin n Σ n3 n=1 00 (b) Use the comparison test to determine whether the following series converges or diverges: 51. 00 00 sin n Σ 52. n3 n=1 PROBLEMS 62 1-0.1 In Problems 53-54, explain why the comparison test cannot
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