Determine whether the following series converges. 0 Σ 8(-1) 2k + 5 k=0 Let ak 20...
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...
Determine whether the following series converges 7k+1 Let , 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. OM. The series converges because is nonincreasing in magnitude for k greater than some index N and limax- 00 OB. The series diverges because is nondecreasing in magnitude for k greater than some index N. OC. The series diverges because is nonincreasing in magnitude for k...
Determine whether the following series converges. Σ 91-14 4k +7 ko 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. O A. The series converges because ax = is nonincreasing in magnitude for k greater than some index N and limax = OB. The series diverges because ax = OC. The series diverges because ax - OD. The series converges because a...
Determine whether the following series converges 7k+2 ko 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 O A. The series converges because a is nonincreasing in magnitude for k greater than some index N and lim ax = ! OB. The series diverges because a OC. The series converges because ax OD. The series converges because is nondecreasing in magnitude for...
Determine whether the following series converges. Letak 20 represent the magnitude of the terms of the given series. Identify and describe Select the correct choice below and fill in any answer box in your choice. O A. ax = OB. ax = OC. a- is nondecreasing in magnitude for k greater than some index N. is nonincreasing in magnitude for k greater than some index N. and for any index N, there are some values of k>N for which a...
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....
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 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 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...
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=