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Determine whether the following series converges. Justify your answer. Σ 2 (k+5)3 k= 1 Select the...
Determine whether the following series converges. Justify your answer. 00 5 Σ KE1 (k+4)* 6 Select...
Determine whether the following series converges. Justify your answer. 00 5 Σ KE1 (k+4)* 6 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The series is a geometric series with common ratio so the series converges by the properties of a geometric series. OB. The series is a p-series with p = so the series converges by the properties of a p-series. OC. The limit of the...
please show all work.. Determine whether the following series converges. Justify your answer. 00 14 k...
please show all work..
Determine whether the following series converges. Justify your answer. 00 14 k พ 14k k= 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The series is a geometric series with common ratio so the series converges by the properties of a geometric series. B. The Root Test yields p = so the series diverges by the Root Test. C. The Ratio Test...
Determine whether the following series converges. Justify your answer. 8 + cos 10k Σ k= 1...
Determine whether the following series converges. Justify your answer. 8 + cos 10k Σ k= 1 Select the correct answer below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer.) 8+ cos 10k 9 O A. Because 9 E and, for any positive integer k, E converges, the given series converges by the Comparison Test. 8 k=1 00 OB. The Integral Test yields f(x) dx = so the series diverges by the Integral...
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...
Determine whether the following series converges. Justify your answer. 00 Σ 6 + cos 3k ko...
Determine whether the following series converges. Justify your answer. 00 Σ 6 + cos 3k ko k=1 Select the correct answer below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer.) OA. The series is a p-series with p= so the series converges by the properties of a p-series. 00 OB. The Integral Test yields J f(x) dx = .so the series diverges by the Integral Test. 0 6 + cos 3k O...
Determine whether the following series converges. Select the correct choice below and, if necessary, fill in...
Determine whether the following series converges. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer.) O A. Because -, for any positive integer k, and 2Ink + 2 diverges, the series diverges by the Comparison Test. +2 k+2 OB. Since J - = 0o, the series diverges by the Integral Test. Ink + 2 8 c. Because Ink +2 —, for any positive integer k, and converges, the...
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...
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...
Use any method to determine if the series converges or diverges. Give reasons for your answer....
Use any method to determine if the series converges or diverges. Give reasons for your answer. Σ 15" 15 n=1 Select the correct choice below and fill in the answer box to complete your choice. O A. The series converges per the Integral Test because | dx = 15% OB. The series diverges because the limit used in the Ratio Test is OC. The series diverges per the Integral Test because | dx = 15% OD. The series converges because...
se a convergence test of your choice to determine whether the following series converges or diverges....
se a convergence test of your choice to determine whether the following series converges or diverges. 002 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The Ratio Test yields r = This is greater than 1, so the series diverges by the Ratio Test. O B. The terms of the series are alternating and their limit is so the series converges by the Alternating Series Test. OC. The Ratio...
Determine whether the following series converges. Justify your answer. 00 5 Σ KE1 (k+4)* 6 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The series is a geometric series with common ratio so the series converges by the properties of a geometric series. OB. The series is a p-series with p = so the series converges by the properties of a p-series. OC. The limit of the...
please show all work..
Determine whether the following series converges. Justify your answer. 00 14 k พ 14k k= 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The series is a geometric series with common ratio so the series converges by the properties of a geometric series. B. The Root Test yields p = so the series diverges by the Root Test. C. The Ratio Test...
Determine whether the following series converges. Justify your answer. 8 + cos 10k Σ k= 1 Select the correct answer below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer.) 8+ cos 10k 9 O A. Because 9 E and, for any positive integer k, E converges, the given series converges by the Comparison Test. 8 k=1 00 OB. The Integral Test yields f(x) dx = so the series diverges by the Integral...
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...
Determine whether the following series converges. Justify your answer. 00 Σ 6 + cos 3k ko k=1 Select the correct answer below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer.) OA. The series is a p-series with p= so the series converges by the properties of a p-series. 00 OB. The Integral Test yields J f(x) dx = .so the series diverges by the Integral Test. 0 6 + cos 3k O...
Determine whether the following series converges. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer.) O A. Because -, for any positive integer k, and 2Ink + 2 diverges, the series diverges by the Comparison Test. +2 k+2 OB. Since J - = 0o, the series diverges by the Integral Test. Ink + 2 8 c. Because Ink +2 —, for any positive integer k, and converges, the...
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...
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...
Use any method to determine if the series converges or diverges. Give reasons for your answer. Σ 15" 15 n=1 Select the correct choice below and fill in the answer box to complete your choice. O A. The series converges per the Integral Test because | dx = 15% OB. The series diverges because the limit used in the Ratio Test is OC. The series diverges per the Integral Test because | dx = 15% OD. The series converges because...
se a convergence test of your choice to determine whether the following series converges or diverges. 002 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The Ratio Test yields r = This is greater than 1, so the series diverges by the Ratio Test. O B. The terms of the series are alternating and their limit is so the series converges by the Alternating Series Test. OC. The Ratio...
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