Comparison Test: Suppose that an and b, are series with positive terms. n=1 n=1 If an lim = C n-00 bn where c is a finite number with c> 0, then either both series converge or both diverge. For the following problems, you must use the Limit Comparison Tesr. No points will be given for solutions that do not use the Limit Comparison Test. (a) ks) Determine whether the series 5n 10 + 2n + 1 n4064 + 1 00 n=1 converges or diverges by comparing with 1 n2022 n=1 You have to use the Limit Comparison Test to justify your answer. (b) rks) Determine whether the series cot converges or diverges. You have to use the Limit Comparison Test to justify your answer.
Comparison Test: Suppose that an and b, are series with positive terms. n=1 n=1 If an lim = C n-00 bn where c is a finite number with c> 0, then either both series converge or both diverge. For the following problems, you must use the Limit Comparison Tesr. No points will be given for solutions that do not use the Limit Comparison Test. (a) ks) Determine whether the series 5n 10 + 2n + 1 n4064 + 1 00 n=1 converges or diverges by comparing with 1 n2022 n=1 You have to use the Limit Comparison Test to justify your answer. (b) rks) Determine whether the series cot converges or diverges. You have to use the Limit Comparison Test to justify your answer.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
n-0o bn
= C
where c is a finite number with c> 0, then either both series converge or both diverge.
For the following problems, you must use the Limit Comparison Testr. No points will be given
for solutions that do not use the Limit Comparison Test.
(a)
ks) Determine whether the series
5n10 + 2n + 1
Vn
4064
+1
n=1
converges or diverges by comparing with
Σ
1
n 2022
n=1
You have to use the Limit Comparison Test to justify your answer.
(b)
rks) Determine whether the series
cot
n=1
converges or diverges. You have to use the Limit Comparison Test to justify your answer.
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