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10.4.16 Use the Divergence Test to determine whether the following series diverges 249 Σ k= 1...
Use the Divergence Test to determine whether the following series diverges or state that the test...
Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. 00 П Σ no +1 Select the correct answer below and fill in the answer box to complete your choice. k-00 O A. According to the Divergence Test, the series converges because lim ak (Simplify your answer.) OB. According to the Divergence Test, the series diverges because lim ax = (Simplify your answer.) O c. The Divergence Test is inconclusive because limax...
Use the Divergence Test to determine whether the following series diverges or state that the test...
Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. n=1 Select the correct answer below and fill in the answer box to complete your choice. k-+00 O A. According to the Divergence Test, the series converges because lima ko (Simplify your answer.) OB. According to the Divergence Test, the series diverges because lim aka (Simplify your answer.) OC. The Divergence Test is inconclusive because lima. (Sirrplify your answer.) OD. The Divergence...
Use the Divergence Test to determine whether the following series diverges or state that the test...
Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. 0 n Σ 4 4n* + 1 n=0 Select the correct answer below and fill in the answer box to complete your choice. A. According to the Divergence Test, the series converges because lim ak = ko (Simplify your answer.) OB. According to the Divergence Test, the series diverges because lim ak = k00 (Simplify your answer.) O C. The Divergence Test...
Determine whether the following series converges or diverges. 2k E VK²+7 k= 0 V Choose the...
Determine whether the following series converges or diverges. 2k E VK²+7 k= 0 V Choose the correct answer below. O A. According to the Divergence Test, the series diverges because lim ak +0. k→ B. According to the Divergence Test, the series converges because lim ak = 0. k+00 OC. According to the Divergence Test, the series diverges because lim ak = 0. ko D. According to the Divergence Test, the series converges because lim ak +0. ko O E....
Use the Divergence Test to determine whether the following series diverges or state that the test...
Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. 00 n no 2n + 1 Select the correct answer below and fill in the answer box to complete your choice. k-00 k-00 O A. According to the Divergence Test, the series diverges because lim ax = (Simplify your answer.) OB. According to the Divergence Test, the series converges because lim ax = 1 (Simplify your answer.) OC. The Divergence Test is...
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...
Use the Ratio Test to determine whether the series converges ab 00 2k Σ k 149...
Use the Ratio Test to determine whether the series converges ab 00 2k Σ k 149 k= 1 Select the correct choice below and fill in the answer box to compl (Type an exact answer in simplified form.) O A. The series converges absolutely because r = OB. The series diverges because r= O c. The Ratio Test is inconclusive because r=
all part of one question Determine whether the following series converges absolutely, converges conditionally, or diverges....
all part of one question
Determine whether the following series converges absolutely, converges conditionally, or diverges. OD (-1)"ax= k1 k=1 Vk 14 +9 Find lim ak. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. k-20 OA. lim ax - OB. The limit does not exist. (-1*45 Now, let a denote E What can be concluded from this result using the Divergence Test? 14 k=1 Vk +9 O A. The series Elak...
Determine whether the following series converges. 0 Σ 8(-1) 2k + 5 k=0 Let ak 20...
Determine whether the following series converges. 0 Σ 8(-1) 2k + 5 k=0 Let ak 20 represent the magnitude of the terms of the given series. Select the correct choice below and fill in the answer box(es) to complete your choice. A. The series converges because ak = of k>N for which ak+1 Sak: and for any index N, there are some values of k>N for which ak+1 ? ak and some values B. The series converges because ak =...
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...
Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. 00 П Σ no +1 Select the correct answer below and fill in the answer box to complete your choice. k-00 O A. According to the Divergence Test, the series converges because lim ak (Simplify your answer.) OB. According to the Divergence Test, the series diverges because lim ax = (Simplify your answer.) O c. The Divergence Test is inconclusive because limax...
Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. n=1 Select the correct answer below and fill in the answer box to complete your choice. k-+00 O A. According to the Divergence Test, the series converges because lima ko (Simplify your answer.) OB. According to the Divergence Test, the series diverges because lim aka (Simplify your answer.) OC. The Divergence Test is inconclusive because lima. (Sirrplify your answer.) OD. The Divergence...
Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. 0 n Σ 4 4n* + 1 n=0 Select the correct answer below and fill in the answer box to complete your choice. A. According to the Divergence Test, the series converges because lim ak = ko (Simplify your answer.) OB. According to the Divergence Test, the series diverges because lim ak = k00 (Simplify your answer.) O C. The Divergence Test...
Determine whether the following series converges or diverges. 2k E VK²+7 k= 0 V Choose the correct answer below. O A. According to the Divergence Test, the series diverges because lim ak +0. k→ B. According to the Divergence Test, the series converges because lim ak = 0. k+00 OC. According to the Divergence Test, the series diverges because lim ak = 0. ko D. According to the Divergence Test, the series converges because lim ak +0. ko O E....
Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. 00 n no 2n + 1 Select the correct answer below and fill in the answer box to complete your choice. k-00 k-00 O A. According to the Divergence Test, the series diverges because lim ax = (Simplify your answer.) OB. According to the Divergence Test, the series converges because lim ax = 1 (Simplify your answer.) OC. The Divergence Test is...
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...
Use the Ratio Test to determine whether the series converges ab 00 2k Σ k 149 k= 1 Select the correct choice below and fill in the answer box to compl (Type an exact answer in simplified form.) O A. The series converges absolutely because r = OB. The series diverges because r= O c. The Ratio Test is inconclusive because r=
all part of one question
Determine whether the following series converges absolutely, converges conditionally, or diverges. OD (-1)"ax= k1 k=1 Vk 14 +9 Find lim ak. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. k-20 OA. lim ax - OB. The limit does not exist. (-1*45 Now, let a denote E What can be concluded from this result using the Divergence Test? 14 k=1 Vk +9 O A. The series Elak...
Determine whether the following series converges. 0 Σ 8(-1) 2k + 5 k=0 Let ak 20 represent the magnitude of the terms of the given series. Select the correct choice below and fill in the answer box(es) to complete your choice. A. The series converges because ak = of k>N for which ak+1 Sak: and for any index N, there are some values of k>N for which ak+1 ? ak and some values B. The series converges because ak =...
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...
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