Nikita Sharma 2019W2 MATH 101 209
Assignment Homework 11 due 9/12/14 at 9pm
Correct Answers:
1. (1 point) • A
Please complete the following survey: https://ubc.ca1.qualtrics.com/jfe/form/SV6 x6HIvc jcvP jqlL
This survey will help the Department of Mathematics 5. (1 point) What can you say about the series ∑ an in
build a complete picture of students’ attitudes and percep- each of the following cases using the Ratio Test? Answer
tions in first-year mathematics courses at UBC. It will only ”Convergent,” ”Divergent,” or ”Inconclusive.”
take 5-10 minutes to complete, and there are no wrong an-
swers.
The survey answers will be kept confidential; only the re- Note: You only have two attempts at this problem.
searchers collecting the data will see them.
ffl ? ffl ?
ffl I clicked on the link! ffl Convergent
ffl I did not click on the link. ffl Divergent
Correct Answers: ffl Inconclusive
• I clicked on the link! an+1
1. lim = 0.05
2. (1 point)
n→∞ an
Determine whether the series is absolutely convergent, ffl ?
conditionally convergent, or divergent: ffl Convergent
ffl Divergent
∞
(−1)n−1
∑ ffl Inconclusive
n=1 n + 4
an+1
2. lim =1
Note: You have only one chance to enter your answer. n→∞ an
ffl ?
Input A for absolutely convergent, C for conditionally ffl Convergent
convergent, and D for divergent: ffl Divergent
Correct Answers: ffl Inconclusive
• C
an+1
3. lim = 20
3. (1 point) Determine whether the series is absolutely n→∞ an
convergent, conditionally convergent, or divergent: Correct Answers:
∞
(−6)n • Convergent
∑ 5 • Inconclusive
n=1 n • Divergent
Note: You have only one chance to enter your answer. ∞
3n
6. (1 point) Consider the series ∑ (−1)n−1 n2 . Evaluate
n=1
Input A for absolutely convergent, C for conditionally the the following limit. If it is infinite, type ”inf”. If it does
convergent, and D for divergent: not exist, type ”div”.
Correct Answers:
• D an+1
lim =L
n→∞ an
4. (1 point) Determine whether the series is absolutely
convergent, conditionally convergent, or divergent: Answer: L =
What can you say about the series using the Ratio Test?
∞
n(−4)n Answer ”Convergent”, ”Divergent”, or ”Inconclusive”.
∑ 6n Answer:
n=1
ffl choose one
Note: You have only one chance to enter your answer. ffl Convergent
ffl Divergent
Input A for absolutely convergent, C for conditionally ffl Inconclusive
convergent, and D for divergent:
1
Assignment Homework 11 due 9/12/14 at 9pm
Correct Answers:
1. (1 point) • A
Please complete the following survey: https://ubc.ca1.qualtrics.com/jfe/form/SV6 x6HIvc jcvP jqlL
This survey will help the Department of Mathematics 5. (1 point) What can you say about the series ∑ an in
build a complete picture of students’ attitudes and percep- each of the following cases using the Ratio Test? Answer
tions in first-year mathematics courses at UBC. It will only ”Convergent,” ”Divergent,” or ”Inconclusive.”
take 5-10 minutes to complete, and there are no wrong an-
swers.
The survey answers will be kept confidential; only the re- Note: You only have two attempts at this problem.
searchers collecting the data will see them.
ffl ? ffl ?
ffl I clicked on the link! ffl Convergent
ffl I did not click on the link. ffl Divergent
Correct Answers: ffl Inconclusive
• I clicked on the link! an+1
1. lim = 0.05
2. (1 point)
n→∞ an
Determine whether the series is absolutely convergent, ffl ?
conditionally convergent, or divergent: ffl Convergent
ffl Divergent
∞
(−1)n−1
∑ ffl Inconclusive
n=1 n + 4
an+1
2. lim =1
Note: You have only one chance to enter your answer. n→∞ an
ffl ?
Input A for absolutely convergent, C for conditionally ffl Convergent
convergent, and D for divergent: ffl Divergent
Correct Answers: ffl Inconclusive
• C
an+1
3. lim = 20
3. (1 point) Determine whether the series is absolutely n→∞ an
convergent, conditionally convergent, or divergent: Correct Answers:
∞
(−6)n • Convergent
∑ 5 • Inconclusive
n=1 n • Divergent
Note: You have only one chance to enter your answer. ∞
3n
6. (1 point) Consider the series ∑ (−1)n−1 n2 . Evaluate
n=1
Input A for absolutely convergent, C for conditionally the the following limit. If it is infinite, type ”inf”. If it does
convergent, and D for divergent: not exist, type ”div”.
Correct Answers:
• D an+1
lim =L
n→∞ an
4. (1 point) Determine whether the series is absolutely
convergent, conditionally convergent, or divergent: Answer: L =
What can you say about the series using the Ratio Test?
∞
n(−4)n Answer ”Convergent”, ”Divergent”, or ”Inconclusive”.
∑ 6n Answer:
n=1
ffl choose one
Note: You have only one chance to enter your answer. ffl Convergent
ffl Divergent
Input A for absolutely convergent, C for conditionally ffl Inconclusive
convergent, and D for divergent:
1
