6. If the sequence an converges, find the limit b. o C. 1 d. e. It...
E) The series Σ-(-1)" 2- n a. converges conditionally. b. diverges by the nth term test. c. converges absolutely, d. converges by limit comparison test. F) The sum of the series 2-3)" is equal to e. None of the above E) The series Σ-(-1)" 2- n a. converges conditionally. b. diverges by the nth term test. c. converges absolutely, d. converges by limit comparison test. F) The sum of the series 2-3)" is equal to e. None of the above
Determine whether the sequence converges or diverges. If it converges, find the limit. If it diverges write NONE. = ne-7 lim Determine whether the sequence converges or diverges. If it converges, find the limit. If it diverges write NONE.
please show all work Determine whether the following series converges or diverges. 15 (3n - 1)(3n+2) + n=1 O A. This is a p-series with p = Sinceps the series diverges. 9 OB. The limit of the terms of the series is By the Divergence Test, the series converges. O C. This is a p-series with p = Since p> the series converges. 1 O D. This is a telescoping series and lim Sn Therefore, the series diverges. n0 O...
Question 16 Find the limit of the sequence: an en 0 0 1 Question 17 Determine if the geometric series converges or diverges. If it converges, find the sum of the series: 24()" converges, sum is 6 diverges converges, sum is 4 converges, sum is 2
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...
(1 point) Determine if the following series converges or diverges. Note: If it converges, consider whether it is geometric or telescoping and enter its sum. If it diverges, enter divergent. 00 Σ 19 n(n + 2)
s(100) 10.Find the area enclosed by the polar curve r = 5 cos 10 12.57T 257T 11. Determine whether the series is convergent or divergent by expressing it as a its sum telescoping sum. If it is convergent, find 00 In n+1 n=1 1 O In 2 -1 O The series is divergent. 12. Use the Comparison Test or the Limit Comparison Test to determine if the following series converges or diverges. 3 5 n=1 n5+5 converges diverges s(100) 10.Find...
Question 3 (18 points). Determine whether the given sequence converges or diverges. Find the limit of each sequence (including too if appropriate) or state that the limit does not exist (DNE). Prove all of your claims and reference the theorems on sequences that you are using. Hint: The fifth word of this question is sequence, not series! (a) an = (-1)" sinn
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) a, = 5 + 8n2 " n + 8n2 lim n >00 an = Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) an = e-9/vñ lim n >00 an =
Determine whether the series converges or diverges. n + 1 Σ +n n = 1 The series converges by the Limit Comparison Test. Each term is less than that of a convergent geometric series. The series converges by the Limit Comparison Test. The limit of the ratio of its terms and a convergent p-series is greater than 0. The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and a divergent p-series is greater...