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MATH 101 UBC Webwork 9 Questions and Answers pdf

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Course
MATH 101 (MATH101)

Institution
University Of British Columbia (UBC )

This is a pdf copy of webwork 9 questions and answers for math 101 at ubc. Note that the exact numbers of your questions might differ but this provides insights for tackling your problems. And who knows you might happen to have the same exact questions! You can use it during the term or better yet,...

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Uploaded on May 25, 2020
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Written in 2019/2020
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sequence
math 101 differential and integral equations
webwork 9 ubc math 101 questions and answers pdf

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Nikita Sharma 2019W2 MATH 101 209
Assignment Homework 9 due 9/12/14 at 9pm

Note: if you need help with formatting your entry in interval
1. (1 point) notation please click here.
Given: Correct Answers:
40
An = n • (0.5,infinity)
4
Determine:
(a) whether {An }is convergent.
If convergent, enter the limit of convergence. If not, enter div . 5. (1 point) Determine whether the series is convergent or
divergent. If convergent, find the sum; if divergent, enter div .
∞
(b) whether ∑ An is convergent.
∞
n=1 3
Correct Answers: ∑ sin(6n) −
n=1 n
• 0
• 13.3333333333333
Answer:
2. (1 point) Correct Answers:
Given: • div
1
An = 0.96
n
Determine:
6. (1 point)
(a) whether {An }is convergent.
If the following series converges, compute its sum. If it di-
If convergent, enter the limit of convergence. If not, enter div .
verges to infinity, state your answer as inf . If it diverges to
∞ negative infinity, state your answer as -inf . If it diverges with-
(b) whether ∑ An is convergent. out being infinity or negative infinity, state your answer as div .
n=1
Correct Answers:
∞
• 0
• div ∑ (e−3n − e−3(n+1) )
n=1
3. (1 point) Let
5n
an = .
4n + 11
For the following answer blanks, decide whether the given se- Correct Answers:
quence or series is convergent or divergent. If convergent, enter • 0.0497870683678639
the limit (for a sequence) or the sum (for a series). If it diverges
to infinity, state your answer as inf . If it diverges to negative
infinity, state your answer as -inf . If it diverges without being 7. (1 point)
infinity or negative infinity, state your answer as div . Consider the series:
∞
5n ∞
(a) The series ∑ 4n + 11 . 3 3
∑ −
n=1 k=4 (k − 1)2 k2
5n
(b) The sequence .
4n + 11 a) Determine whether the series is convergent or divergent:
Correct Answers: .
• inf (Enter ”conv ” or ”div ” as appropriate.)
• 1.25 b) If it converges, find its sum: .
4. (1 point) Find the values of p for which the series con- If the series diverges, enter here div again.
Correct Answers:
verges.
∞
ln n • CONV
∑ n2p • 0.333333333333333
n=1
Answer (in interval notation):
1

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