5. For this problem, you have to read and study the textbook pages 762- 763 about The Limit Comparison Test: Suppose that an and bn are series with positive terms. n=1 If an lim no b. where e is a finite number with e> 0, then either both series converge or both diverge. For the following problems, you must use the Limit Comparison Test. No points will be given for solutions that do not use the Limit Comparison Test. (a) Determine whether the series 5n 10 + 2n +1 n=1 converges or diverges by comparing with Σ 1 n2022 You have to use the Limit Comparison Test to justify your answer. (b) Determine whether the series cot n=1 converges or diverges. You have to use the Limit Comparison Test to justify your answer.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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5. For this problem, you have to read and study the textbook pages 762- 763 about The Limit
Comparison Test: Suppose that an and bn are series with positive terms.
n=1
n=1
If
an
lim
no b,
where c is a finite number with e> 0, then either both series converge or both diverge.
For the following problems, you must use the Limit Comparison Test. No points will be given
for solutions that do not use the Limit Comparison Test.
(a)
Determine whether the series
5n 10 + 2n +1
n4064 +1
converges or diverges by comparing with
n 2022
n=1
You have to use the Limit Comparison Test to justify your answer.
(b)
Determine whether the series
Σο()
cot
n=1
converges or diverges. You have to use the Limit Comparison Test to justify your answer.
Transcribed Image Text:5. For this problem, you have to read and study the textbook pages 762- 763 about The Limit Comparison Test: Suppose that an and bn are series with positive terms. n=1 n=1 If an lim no b, where c is a finite number with e> 0, then either both series converge or both diverge. For the following problems, you must use the Limit Comparison Test. No points will be given for solutions that do not use the Limit Comparison Test. (a) Determine whether the series 5n 10 + 2n +1 n4064 +1 converges or diverges by comparing with n 2022 n=1 You have to use the Limit Comparison Test to justify your answer. (b) Determine whether the series Σο() cot n=1 converges or diverges. You have to use the Limit Comparison Test to justify your answer.
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