ermine whether the following series converges. Justify your answer. Σ k=1 A. O B. 8 + cos 4k mple Because Test. 8 k Because 4.L 8 + cos 4k 8 k 8+ cos 4k 8 k Textbook Ç > S 9 and, for any positive integer k, 8 9 and, for any positive integer k, 8 k tv Sl 8 k=1 k k=1 9 8 k diverges, the given series diverges by t converges, the given series converges A Clear all W X

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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Help with the following question. The second photo is the rest of the multiple choice
Determine whether the following series converges. Justify your answer.
8
Σ
k=1
A.
B.
8 + cos 4k
8
Because
Test.
example
k
Because
8+ cos 4k
k
8 + cos 4k
8
Textbook
M
9
8
9
and, for any positive integer k,
...
and, for any positive integer k,
útv
MacBook Air
00
k=1
00
8
k=1 k
diverges, the given series diverges by the Comparison
converges, the given series converges by the Comparison
A
Clear all
W
Check answer
Transcribed Image Text:Determine whether the following series converges. Justify your answer. 8 Σ k=1 A. B. 8 + cos 4k 8 Because Test. example k Because 8+ cos 4k k 8 + cos 4k 8 Textbook M 9 8 9 and, for any positive integer k, ... and, for any positive integer k, útv MacBook Air 00 k=1 00 8 k=1 k diverges, the given series diverges by the Comparison converges, the given series converges by the Comparison A Clear all W Check answer
C. The series is a p-series with p =
O D. The series is a p-series with p =
OE. The Integral Test yields
example
Textbook
00
F6
0
MacBook Air
f(x) dx =
F7
tv
...
so the series converges by the properties of a p-series. (Type an exact answer.)
so the series diverges by the properties of a p-series. (Type an exact answer.)
so the series diverges by the Integral Test. (Type an exact answer.)
12
F8
V
F9
A
Clear all
F10
W
Check ans
F11
Transcribed Image Text:C. The series is a p-series with p = O D. The series is a p-series with p = OE. The Integral Test yields example Textbook 00 F6 0 MacBook Air f(x) dx = F7 tv ... so the series converges by the properties of a p-series. (Type an exact answer.) so the series diverges by the properties of a p-series. (Type an exact answer.) so the series diverges by the Integral Test. (Type an exact answer.) 12 F8 V F9 A Clear all F10 W Check ans F11
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