n cos“(n) 2+ n3 Determine if the series converges or diverges and choose the option that describes the behaviour of the series. n = 1 The given series converges. Since for all n the terms in the series are negative, the given series converges. The given series is neither convergent nor divergent. The given series diverges. Since for all n the signs of the terms of the series alternate, the given series converges to 0.
n cos“(n) 2+ n3 Determine if the series converges or diverges and choose the option that describes the behaviour of the series. n = 1 The given series converges. Since for all n the terms in the series are negative, the given series converges. The given series is neither convergent nor divergent. The given series diverges. Since for all n the signs of the terms of the series alternate, the given series converges to 0.
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
![n cos“ (n)
00
Determine if the series
converges or diverges and choose the option that describes the behaviour of the series.
2+ n3
n = 1
The given series converges.
Since for all n the terms in the series are negative, the given series converges.
The given series is neither convergent nor divergent.
The given series diverges.
Since for all n the signs of the terms of the series alternate, the given series converges to 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F519d4492-8e4c-4b4b-b1f5-a1d5c4f0934c%2F57624234-9b5e-4701-bcc6-1e9aab80954f%2F0u7grxl_processed.png&w=3840&q=75)
Transcribed Image Text:n cos“ (n)
00
Determine if the series
converges or diverges and choose the option that describes the behaviour of the series.
2+ n3
n = 1
The given series converges.
Since for all n the terms in the series are negative, the given series converges.
The given series is neither convergent nor divergent.
The given series diverges.
Since for all n the signs of the terms of the series alternate, the given series converges to 0.
![ni +4
Determine if the series
converges or diverges and choose the option that describes the behaviour of the series.
yni +
n = 1
The given series is an alternating series, and it diverges.
The given series is neither convergent nor divergent.
Since there exist a limit to the series, the given series is convergent.
The given series converges.
The given series diverges.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F519d4492-8e4c-4b4b-b1f5-a1d5c4f0934c%2F57624234-9b5e-4701-bcc6-1e9aab80954f%2F9gvbxko_processed.png&w=3840&q=75)
Transcribed Image Text:ni +4
Determine if the series
converges or diverges and choose the option that describes the behaviour of the series.
yni +
n = 1
The given series is an alternating series, and it diverges.
The given series is neither convergent nor divergent.
Since there exist a limit to the series, the given series is convergent.
The given series converges.
The given series diverges.
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