Use the Comparison Test to determine whether the series converges. 00 Σ 4k3+3 k= 1 The...
Use an appropriate test to determine whether the series converges. 00 k+ 12 Σ In k= 1 By the this series
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=
Use the Limit Comparison Test to determine whether the series converges. The Limit Comparison Test with § 13K-3K) shows that the series diverges. k= 1 Consider the following convergent series. Complete parts a through c below. a. Use Sn to estimate the sum of the series. S2 (Round to seven decimal places as needed.) Determine how many terms of the following convergent series must be summed to be sure that the remainder is less than 10-in magnitude. (-1) k=0 (2k...
(1 pt) Use the Comparison Test to determine whether the infinite series is convergent. 1 Σ. n3" By the Comparison Test, the infinite series n3" T1 A. converges B. diverges Note: You are allowed only one attempt on this problem.
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 direct comparison test to determine whether the series converges or diverges 4. Use the direct comparison test to determine whether the series converges or diverges. (8 points) Š n 2n3 + 1
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...
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. 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 the Limit Comparison Test to determine whether the series converges or diverges 7n2+2 4n° +3 n-l Use the Limit Comparison Test to determine whether the series converges or diverges 7n2+2 4n° +3 n-l