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MATH 101 UBC Webwork 10 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 10 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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math 101 differential and integral equation
first year engineering ubc get ahead
divergence and convergence of series

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Nikita Sharma 2019W2 MATH 101 209
Assignment Homework 10 due 9/12/14 at 9pm

Input C for convergence and D for divergence:
1. (1 point) Each of the following statements is an attempt
to show that a given series is convergent or divergent not using Note: You have only one chance to enter your answer.
the Comparison Test (NOT the Limit Comparison Test.) For Correct Answers:
each statement, enter C (for ”correct”) if the argument is valid, • C
or enter I (for ”incorrect”) if any part of the argument is flawed.
(Note: if the conclusion is true but the argument that led to it 3. (1 point)
was wrong, you must enter I.) Determine whether the following series converges or di-
verges.
∞
4n
1 1 1 ∑ 3 + 5n
1. For all n > 2, < 2 , and the series con- n=1
n2 − 3 n ∑ n2
1 Input C for convergence and D for divergence:
verges, so by the Comparison Test, the series ∑ 2
n −3
converges. Note: You have only one chance to enter your answer.
sin2 (n) 1 1 Correct Answers:
2. For all n > 1, < 2 , and the series ∑ 2 con-
n2 n n • C
sin2 (n)
verges, so by the Comparison Test, the series ∑ 4. (1 point)
n2
converges. Determine whether the following series converges or di-
n 2 1
3. For all n > 2, 3 < , and the series 2 ∑ 2 con- verges.
n − 3 n2 n ∞
n9 + 8
n
verges, so by the Comparison Test, the series ∑ 3 ∑ 10
n −3 n=1 n + 3
converges. √
n+1 1 1 Input C for convergence and D for divergence:
4. For all n > 2, > , and the series ∑ diverges,
n n n
√
n+1 Note: You have only one chance to enter your answer.
so by the Comparison Test, the series ∑ di- Correct Answers:
n
verges. • D
log(n) 1 1
5. For all n > 2, > 2 , and the series ∑ 2 con- 5. (1 point) Determine whether the following series con-
n2 n n
log(n) verges or diverges.
verges, so by the Comparison Test, the series ∑ ∞
n2 9
converges. ∑ n2n
arctan(n) π π 1 n=1
6. For all n > 1, < 3 , and the series ∑ 3
n3 2n 2 n Input C for convergence and D for divergence:
converges, so by the Comparison Test, the series
arctan(n)
∑ n3 converges. Note: You have only one chance to enter your answer.
Correct Answers:
Correct Answers:
• C
• I
• C 6. (1 point) Determine whether the following series con-
• C verges or diverges:
• C ∞
6
• I ∑ sin n
• C n=1

2. (1 point) Input C for convergence and D for divergence:
Determine whether the following series converges or di-
verges: Note: You have only one chance to enter your answer.
∞
Correct Answers:
n
∑ (n5 + 2)1/2 • D
n=1
1

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