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(I point) (a) Check all of the following that are true for the series Σ 2-1 A. This series conver...
(1 point) This series converges Check all of the following that are true for the series...
(1 point) This series converges Check all of the following that are true for the series 5 sin na n2 n-1 OA. This series converges OB. This series diverges C. The integral test can be used to determine convergence of this series. D. The comparison test can be used to determine convergence of this series. E. The limit comparison test can be used to determine convergence of this series. OF. The ratio test can be used to determine convergence of...
Check if the following series converges absolutely, converges conditionally, or diverges. I know the series converges...
Check if the following series converges absolutely, converges conditionally, or diverges. I know the series converges conditionally. This is determined by testing the series for "normal” convergence with the integral test, comparison test, root test or ratio test. If the series fails to be absolutely convergent the alternating series test is used in step 2. 2n + 3 Σ(-1)*. 3n2 +1 n=1
Problem 5. (1 point) Consider the series = 4+(-1)^n). 63 - 3n Which of the following...
Problem 5. (1 point) Consider the series = 4+(-1)^n). 63 - 3n Which of the following statements accurately describes the series? A. The series diverges by the Divergence Test. B. The series converges by the Limit Comparison Test with the series 613 C. The series converges by the Alternating Series Test. D. The series diverges by the Integral Test. E. The series converges by the Integral Test. Problem 6. (1 point) In order to determine the convergence or divergence of...
Use the pull down menu to state whether the series converges or diverges and by which...
Use the pull down menu to state whether the series converges or diverges and by which convergence test. 3m 4 (1y Vn+3 8" n! g0- 32 443 (-1'n Σ 4n+4 00 Σ (+: 4 4 n7 n15 W Converges-Integral/Comparison Test Converges-Ratio Test Converges-Alternating Series Test Diverges-Integral/Comparison Test Diverges-Ratio Test Diverges-Alternating Series Test
Use the pull down menu to state whether the series converges or diverges and by which convergence test. 3m 4 (1y Vn+3 8" n! g0- 32 443 (-1'n...
(1 point) Select the FIRST correct reason on the list why the given series converges. D-1)",...
(1 point) Select the FIRST correct reason on the list why the given series converges. D-1)", n 6 E 1 sin2 (3n) 2. n2 00 (п+ 1)(15)" 3. B 42n n-1 OC 6(6)" A 4. 2n 11 n 1 00 (-1)" In(e") п° cos(пт) C 5. n-1 1 D 6. п(m(n))? п-2 A. Geometric series B. Ratio test C. Integral test D. Comparison with a convergent p series. E. Alternating series test c2
(1 point) Select the FIRST correct reason...
(1 point) Each of the following statements is an attempt to show that a given series...
(1 point) Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparison Test (NOT the Limit Comparison Test). For each statement, enter Correct if the argument is valid, or enter Incorrect if any part of the argument is flawed. (Note: if the conclusion is true but the argument that led to it was wrong, you must enter Incorrect.) In(n) 1 1 In(n) Incorrect v 1. For all n >...
To test the series e 2n for convergence, you can use the Integral Test. (This is...
To test the series e 2n for convergence, you can use the Integral Test. (This is also a geometric series, so we could n=1 also investigate convergence using other methods.) Find the value of e-24 dx = Preview Ji What does this value tell you about the convergence of the series e-2n? the series definitely diverges the series might converge or diverge: we need more information the series definitely converges Compute the value of the following improper integral, if it...
Vn+1 11. According to the Limit Comparison Test, the series does which of the n2+1 following?...
Vn+1 11. According to the Limit Comparison Test, the series does which of the n2+1 following? (a) It converges. (b) It diverges. (e) The test cannot be used here. (d) There is no way to tell. 2n + 5 12. Suppose that we use the Limit Comparison Test to test the series 3n3 + n2 - 4n+1 for convergence. Which of the following series should be used for comparison? (a) n 13+ n2 (b) (c) (d) În
(1 point) Each of the following statements is an attempt to show that a given series...
(1 point) Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparison Test (NOT the Limit Comparison Test) For each statement, enter C (for "correct") if the argument is valid, 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 was wrong, you must enter I.) TL 1. For all n > 1....
Determine whether the following series converges absolutely, converges conditionally, or diverges. 00 (-1)+1e 3k Σ-11: -Σ...
Determine whether the following series converges absolutely, converges conditionally, or diverges. 00 (-1)+1e 3k Σ-11: -Σ ak (k 17 k 1 k 1 Find lim a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. koo O A. lim ak koo O B. The Ilimit does not exist. (1)* 1 (k 17) 3k e Σ. Now, let denote What can be concluded from this result using the Divergence Test? k 1 O...
(1 point) This series converges Check all of the following that are true for the series 5 sin na n2 n-1 OA. This series converges OB. This series diverges C. The integral test can be used to determine convergence of this series. D. The comparison test can be used to determine convergence of this series. E. The limit comparison test can be used to determine convergence of this series. OF. The ratio test can be used to determine convergence of...
Problem 5. (1 point) Consider the series = 4+(-1)^n). 63 - 3n Which of the following statements accurately describes the series? A. The series diverges by the Divergence Test. B. The series converges by the Limit Comparison Test with the series 613 C. The series converges by the Alternating Series Test. D. The series diverges by the Integral Test. E. The series converges by the Integral Test. Problem 6. (1 point) In order to determine the convergence or divergence of...
Use the pull down menu to state whether the series converges or diverges and by which convergence test. 3m 4 (1y Vn+3 8" n! g0- 32 443 (-1'n Σ 4n+4 00 Σ (+: 4 4 n7 n15 W Converges-Integral/Comparison Test Converges-Ratio Test Converges-Alternating Series Test Diverges-Integral/Comparison Test Diverges-Ratio Test Diverges-Alternating Series Test
Use the pull down menu to state whether the series converges or diverges and by which convergence test. 3m 4 (1y Vn+3 8" n! g0- 32 443 (-1'n...
(1 point) Select the FIRST correct reason on the list why the given series converges. D-1)", n 6 E 1 sin2 (3n) 2. n2 00 (п+ 1)(15)" 3. B 42n n-1 OC 6(6)" A 4. 2n 11 n 1 00 (-1)" In(e") п° cos(пт) C 5. n-1 1 D 6. п(m(n))? п-2 A. Geometric series B. Ratio test C. Integral test D. Comparison with a convergent p series. E. Alternating series test c2
(1 point) Select the FIRST correct reason...
(1 point) Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparison Test (NOT the Limit Comparison Test). For each statement, enter Correct if the argument is valid, or enter Incorrect if any part of the argument is flawed. (Note: if the conclusion is true but the argument that led to it was wrong, you must enter Incorrect.) In(n) 1 1 In(n) Incorrect v 1. For all n >...
To test the series e 2n for convergence, you can use the Integral Test. (This is also a geometric series, so we could n=1 also investigate convergence using other methods.) Find the value of e-24 dx = Preview Ji What does this value tell you about the convergence of the series e-2n? the series definitely diverges the series might converge or diverge: we need more information the series definitely converges Compute the value of the following improper integral, if it...
Vn+1 11. According to the Limit Comparison Test, the series does which of the n2+1 following? (a) It converges. (b) It diverges. (e) The test cannot be used here. (d) There is no way to tell. 2n + 5 12. Suppose that we use the Limit Comparison Test to test the series 3n3 + n2 - 4n+1 for convergence. Which of the following series should be used for comparison? (a) n 13+ n2 (b) (c) (d) În
(1 point) Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparison Test (NOT the Limit Comparison Test) For each statement, enter C (for "correct") if the argument is valid, 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 was wrong, you must enter I.) TL 1. For all n > 1....
Determine whether the following series converges absolutely, converges conditionally, or diverges. 00 (-1)+1e 3k Σ-11: -Σ ak (k 17 k 1 k 1 Find lim a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. koo O A. lim ak koo O B. The Ilimit does not exist. (1)* 1 (k 17) 3k e Σ. Now, let denote What can be concluded from this result using the Divergence Test? k 1 O...
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