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Use an appropriate test to determine whether the series converges. 00 k+ 12 Σ In k=...
Use the Comparison Test to determine whether the series converges. 00 Σ 4k3+3 k= 1 The Comparison Test with Σ shows that the series k = 1
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=
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...
10.4.16 Use the Divergence Test to determine whether the following series diverges 249 Σ k= 1 Choose the correct answer below. O A. The series diverges because lim k-00 2k9 k! = 0. B. The series converges because lim K00 2K K! 0. OC. The series converges because lim K+00 2kº -0. D. The series diverges because lim 2k k! *0 00 The mai
Determine whether the following series converges or diverges (show your answer in detail). 00 k Σ k=3k + 2tan-k+2
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...
Use the root test to determine if the following series converges. 12 Σ 4n6 – 6 5n3 – n - - 7 n=1 Using the root test find lim 1200 VI(2) 1 ano 12 And, what can we conclude about the series 4n - 6 5n3 – n - 7 Σ Inconclusive Diverges Converges
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...
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...
Determine whether the following series converges. 00 Σ 6-1 *2k/ Ink) Leta 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. The series converges because ak 6 k(Ink) Is nonincreasing in magnitude for k greater than some Index N and lim ax - k-00 and for any index N, there are some values of k> N for which ak +12 a, and some...