Question

6. One of the following series converges and one diverges. Determine the convergence/divergence of each series. State which t

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Solution: sh Enls 9 an= 1359 31 nn n=1 nn Here we use root test lim lanlina lim 3 noo =O < nao n je By Root test the series c

Add a comment
Know the answer?
Add Answer to:
6. One of the following series converges and one diverges. Determine the convergence/divergence of each series....
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • (1 pt) Determine convergence or divergence of 6n2 + 6 n=1 A. converges B. diverges Note:...

    (1 pt) Determine convergence or divergence of 6n2 + 6 n=1 A. converges B. diverges Note: You are allowed only one attempt on this problem. Determine the convergence or divergence of the series 6" 8n This series is convergent. This series is divergent. Note: You are allowed only one attempt on this problem. (1 pt) Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If either test can be applied to...

  • cos (6) 3. Determine the convergence divergence type of the series (a) The series diverges conditionally...

    cos (6) 3. Determine the convergence divergence type of the series (a) The series diverges conditionally (b) The series converges both absolutely and conditionally (c) The series diverges (d) The series converges conditionally (e) The series converges absolutely

  • (1 point) Assume we are trying to determine the convergence or divergence of the series 3n2...

    (1 point) Assume we are trying to determine the convergence or divergence of the series 3n2 + 6n3 n8 – 4n2 M n=1 Which of the following statements accurately describes the series? A. The series converges conditionally. B. The series converges by the Limit Comparison Test with the series Σ n= alw - i M8 3 C. The series converges by the Limit Comparison Test with the series n=1 D. The series diverges by the Divergence Test. OE. It is...

  • 1. or each of the series below, use the divergence test to see i the seies diverges, or state tha...

    1. or each of the series below, use the divergence test to see i the seies diverges, or state that the test is inconclusive. 3n 2 2n +1 2. If lim, roan 0 can we always conclude that Σ 1 an converges? If not, give an example showing this fails. 3. Determine if the following p-series converge or diverge. A. TL TL 4. Use the integral test to determine whether the following series converge or diverge. Hint: Use a u-subsitution...

  • Use the Limit Comparison Test to determine the convergence or divergence of the series. 6 +...

    Use the Limit Comparison Test to determine the convergence or divergence of the series. 6 + 1 lim = L > 0 converges diverges Use the Limit Comparison Test to determine the convergence or divergence of the series. Στέ ο, Vn2 + 7 √2 + 7 lim - =L >0 n00 converges diverges -/2 POINTS LARCALCET6 9.4.016. Use the Limit Comparison Test to determine the convergence or divergence of the series. 61 + 1 70 + 1 6 7 +...

  • Use a convergence test of your choice to determine whether the following series converges or diverges....

    Use a convergence test of your choice to determine whether the following series converges or diverges. 0 Σ ke 5k k= 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) A. The limit of the terms of the series is This is not 0, so the series diverges by the Divergence Test. B. The series is a geometric series with common ratio This is greater than 1, so the...

  • Test for convergence or divergence of the series and identify the test used. In(n) n n...

    Test for convergence or divergence of the series and identify the test used. In(n) n n = 2 O diverges by the Direct Comparison Test O converges by the Direct Comparison Test O converges by the p-Series Test O diverges by the p-Series Test Determine the convergence or divergence of the series. (If you need to use co or -, enter INFINITY or -INFINITY, respectively.) 00 į (-1)"(4n – 1) 3n + 1 n = 1 4n - 1 lim...

  • 30) Determine whether the series converges absolutely, converges conditionally, or diverges. Be sure to indicate wh...

    30) Determine whether the series converges absolutely, converges conditionally, or diverges. Be sure to indicate which test you are applying and to show all of your work. (The final exam may include different series that require different convergence tests from the test required in these problems) 3" 2" c) b) n-1 n 2"n e)Σ d) n-2川Inn (2n 30) Determine whether the series converges absolutely, converges conditionally, or diverges. Be sure to indicate which test you are applying and to show...

  • Determine whether the series converges or diverges.

    1. Determine whether the series converges or diverges.$$ \sum_{k=1}^{\infty} \frac{\ln (k)}{k} $$convergesdiverges2.Test the series for convergence or divergence.$$ \sum_{n=1}^{\infty}(-1)^{n} \sin \left(\frac{3 \pi}{n}\right) $$convergesdiverges

  • Use an appropriate test to determine whether the series given below converges or diverges. Show all...

    Use an appropriate test to determine whether the series given below converges or diverges. Show all work needed to support the conclusion of convergence or divergence. State all tests used. Give any values of "r" or "p" or limits used. (n+7)(n+3) n = 1 Select the correct choice below and fill in the answer box to complete your choice. O A. The series converges. OB. The series diverges.

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT