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