(-1)") 55. 2"

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

55.

Plot a graph of the sequence {a,}, for a, =
Then
n + 1
determine the limit of the sequence or explain why the sequence
diverges.
55-70. More sequences Find the limit of the following sequences or
determine that the sequence diverges.
-1)",
55.
56.
2"
cos (nT/2)
57. a, = (-1)" Vn
58.
Vn
n sin (n/2)1
59.
60.
n + 1
2n +n
61. an
= e" cos n
62. an
2 sin (e)
(2n+n) tan
64.
tan
63.
n + 4
sin 6n
cos n
66.
65.
5n
sin n
68.
67.
2"
5" sin n
S75"-1
69.
8"
99"
{com (0.9") + "}
+ 9")
70.
cos (0.99") +
63"
Transcribed Image Text:Plot a graph of the sequence {a,}, for a, = Then n + 1 determine the limit of the sequence or explain why the sequence diverges. 55-70. More sequences Find the limit of the following sequences or determine that the sequence diverges. -1)", 55. 56. 2" cos (nT/2) 57. a, = (-1)" Vn 58. Vn n sin (n/2)1 59. 60. n + 1 2n +n 61. an = e" cos n 62. an 2 sin (e) (2n+n) tan 64. tan 63. n + 4 sin 6n cos n 66. 65. 5n sin n 68. 67. 2" 5" sin n S75"-1 69. 8" 99" {com (0.9") + "} + 9") 70. cos (0.99") + 63"
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