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...
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
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller new2282307660. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $10.49. You're not tied to anything after your purchase.
