Homework 11.4
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CUNY Queens College *
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MAT202
Subject
Mathematics
Date
May 23, 2024
Type
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4
Uploaded by rifat22
11/29/2020
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Question
Points
1
2
3
4
5
6
7
8
0/2 0/1 0/1 0/1 0/1 0/1 0/1 0/4
Total
0/12
Homework 11.4 (17995740)
Current Score:
0/12
Due:
Sat, Dec 5, 2020 11:59 PM EST
1.
-
0/2 points
SCalcET9 11.4.001. [4601709]
Suppose are series with positive terms and is known to be convergent.
(a)
If for all n
, what, if anything, can you say about Explain.
(b)
If for all n
, what, if anything, can you say about Explain.
and a
n
b
n
b
n
a
> b
n
n
a
?
n
converges if and only if converges if and only if diverges by the Comparison Test.
We cannot say anything about converges by the Comparison Test.
a
n
a
≤ 4
b
.
n
n
a
n
a
≤ 2
b
.
n
n
a
n
.
a
n
a
n
a
< b
n
n
a
?
n
converges by the Comparison Test.
We cannot say anything about diverges by the Comparison Test.
converges if and only if converges if and only if a
n
.
a
n
a
n
a
n
≤ a
≤ b
.
b
4
n
n
n
a
n
≤ a
≤ b
.
b
2
n
n
n
2.
-
0/1 points
SCalcET9 11.4.009. [4601059]
Determine whether the series converges or diverges.
∞
n
= 1
n
+ 5
n
n
converges
diverges
11/29/2020
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2/4
3.
-
0/1 points
SCalcET9 11.4.011. [4601498]
Determine whether the series converges or diverges.
∞
n
= 1
8
9 + 13
n
n
converges
diverges 4.
-
0/1 points
SCalcET9 11.4.021. [4601563]
Determine whether the series converges or diverges.
∞
n
= 1
5
n
+ 8
2
converges
diverges 5.
-
0/1 points
SCalcET9 11.4.024. [4601601]
Determine whether the series converges or diverges.
∞
n
= 1
n
+ n
+ 4
n
+ n
2
4
2
converges
diverges
11/29/2020
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Name (AID): Homework 11.4 (17995740)
Submissions Allowed: 5
Category: Homework
Code:
Locked: Yes
Author: Drame, Abdou (
adrame@lagcc.cuny.edu )
Last Saved: Nov 29, 2020 11:03 PM EST
Permission: Protected
Randomization: Person
Which graded: Last
Before due date
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Assignment Details
6.
-
0/1 points
SCalcET9 11.4.033. [4600956]
Determine whether the series converges or diverges.
∞
1 + e
n
= 1
3
n
4
−
n
converges
diverges 7.
-
0/1 points
SCalcET9 11.4.036. [4601017]
Determine whether the series converges or diverges.
∞
n
= 1
34
n
!
n
n
converges
diverges 8.
-
0/4 points
SCalcET9 11.4.037.MI.SA. [4601435]
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive
any points for the skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise
Determine whether the series is convergent or divergent.
∞
6 sin
n
= 1
2
n
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11/29/2020
Assignment Previewer
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