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What is the limit of the sequence -1 sin 1 Does not converge 21 12 1 What is the sum of 13 13 12 1 13 None of the above...
1 sin )-sin Determine whether the following series converge or diverge. +1 Select one a. Diverges...
1 sin )-sin Determine whether the following series converge or diverge. +1 Select one a. Diverges b. Converges, and the partial sum is 1 C. Converges, and the partial sum is sin 1 2 d. Converges, and the partial sum is 0
Previous Problem Problem List Next Problem 4n + (1 point) Use the limit comparison test to...
Previous Problem Problem List Next Problem 4n + (1 point) Use the limit comparison test to determine whether Ž. - converges 1412 p. converge or diverges. (a) Choose a series br with terms of the form bn = and apply the limit comparison test. Write your answer as a fully reduced fraction. For n > 14, lim = lim 1+00 1 00 (b) Evaluate the limit in the previous part. Enter op as infinity and -o as-infinity. If the limit...
Does the series (-1)"+1 n n+1 converge absolutely, converge conditionally, or diverge? n=1 Choose the correct...
Does the series (-1)"+1 n n+1 converge absolutely, converge conditionally, or diverge? n=1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. OA. 1 The series converges conditionally per Alternating Series Test and the Comparison Test with n + 1 n = 1 O B. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. OC. The series converges conditionally per the Alternating...
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 equa...
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
00 Does the series Σ (-1)". n n+6 converge absolutely, converge conditionally, or diverge? n=1 Choose...
00 Does the series Σ (-1)". n n+6 converge absolutely, converge conditionally, or diverge? n=1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Tes O B. The series converges absolutely because the limit used in the Ratio Test is O C. The series diverges because the limit used in the Ratio Test is...
For each sequence a, find a number k such that nkan has a finite non-zero limit. This is of use, because by the limit c...
For each sequence a, find a number k such that nkan has a finite non-zero limit. This is of use, because by the limit comparison test the series , an and both converge or both diverge.) n n-1 n=1 A. a, = (6 + 4n)-7 k 7 n+n. В. а, — 5n2+7n+5 C. an=n9+7n+4 k = 10 5n2+7n+6 D. a, = 9n9+7n+4n
For each sequence a, find a number k such that nkan has a finite non-zero limit. This is...
Question 2 (12 marks) (a) Consider the sequence with terms 2n35"5 log n n 1,2,3,.. 13 n8n (i) Determine whether ah...
Question 2 (12 marks) (a) Consider the sequence with terms 2n35"5 log n n 1,2,3,.. 13 n8n (i) Determine whether ah diverges. If the sequence converges, find its converges or limit. o0 (ii) Determine whether r diverges. Justify your ansv swer an Converges o n-1 (b) Consider the series (2n)! 2 (n!) and determine whether it converges or diverges. Justify your answer IM8 8
Question 2 (12 marks) (a) Consider the sequence with terms 2n35"5 log n n 1,2,3,.. 13...
Find the Nth partial sum of the infinite series and evaluate its limit to determine whether...
Find the Nth partial sum of the infinite series and evaluate its limit to determine whether the series converges or diverges. 00 1 n+ 5 1 n + 6 n = 1 Sn = converges diverges If the series is convergent, find its sum. (If an answer does not exist, enter DNE.) 1/6 Need Help? Read It Watch It Talk to a Tutor Find the Nth partial sum of the infinite series and evaluate its limit to determine whether the...
Does the series (-1)" (n + 2)" ? converge absolutely, converge conditionally, or diverge? (5n)" Choose...
Does the series (-1)" (n + 2)" ? converge absolutely, converge conditionally, or diverge? (5n)" Choose the correct answer below and, if necessary, fill in the answer box to complete your choice O A. The series converges absolutely because the limit used in the Root Test is OB. The series diverges because the limit used in the nth-Term Test is different from zero, OC. The series converges conditionally per the Alternating Series Test and because the limit used in the...
please show all steps 00 Does the series 2 (-1)n +16+n 8+n converge absolutely, converge conditionally,...
please show all steps
00 Does the series 2 (-1)n +16+n 8+n converge absolutely, converge conditionally, or diverge? n=1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. O A The series diverges because the limit used in the Ratio Test is not less than or equal to 1. OB. The series converges absolutely because the corresponding series of absolute values is geometric with Ir] =- Oc. The series converges conditionally per...
1 sin )-sin Determine whether the following series converge or diverge. +1 Select one a. Diverges b. Converges, and the partial sum is 1 C. Converges, and the partial sum is sin 1 2 d. Converges, and the partial sum is 0
Previous Problem Problem List Next Problem 4n + (1 point) Use the limit comparison test to determine whether Ž. - converges 1412 p. converge or diverges. (a) Choose a series br with terms of the form bn = and apply the limit comparison test. Write your answer as a fully reduced fraction. For n > 14, lim = lim 1+00 1 00 (b) Evaluate the limit in the previous part. Enter op as infinity and -o as-infinity. If the limit...
Does the series (-1)"+1 n n+1 converge absolutely, converge conditionally, or diverge? n=1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. OA. 1 The series converges conditionally per Alternating Series Test and the Comparison Test with n + 1 n = 1 O B. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. OC. The series converges conditionally per the Alternating...
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
00 Does the series Σ (-1)". n n+6 converge absolutely, converge conditionally, or diverge? n=1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Tes O B. The series converges absolutely because the limit used in the Ratio Test is O C. The series diverges because the limit used in the Ratio Test is...
For each sequence a, find a number k such that nkan has a finite non-zero limit. This is of use, because by the limit comparison test the series , an and both converge or both diverge.) n n-1 n=1 A. a, = (6 + 4n)-7 k 7 n+n. В. а, — 5n2+7n+5 C. an=n9+7n+4 k = 10 5n2+7n+6 D. a, = 9n9+7n+4n
For each sequence a, find a number k such that nkan has a finite non-zero limit. This is...
Question 2 (12 marks) (a) Consider the sequence with terms 2n35"5 log n n 1,2,3,.. 13 n8n (i) Determine whether ah diverges. If the sequence converges, find its converges or limit. o0 (ii) Determine whether r diverges. Justify your ansv swer an Converges o n-1 (b) Consider the series (2n)! 2 (n!) and determine whether it converges or diverges. Justify your answer IM8 8
Question 2 (12 marks) (a) Consider the sequence with terms 2n35"5 log n n 1,2,3,.. 13...
Find the Nth partial sum of the infinite series and evaluate its limit to determine whether the series converges or diverges. 00 1 n+ 5 1 n + 6 n = 1 Sn = converges diverges If the series is convergent, find its sum. (If an answer does not exist, enter DNE.) 1/6 Need Help? Read It Watch It Talk to a Tutor Find the Nth partial sum of the infinite series and evaluate its limit to determine whether the...
Does the series (-1)" (n + 2)" ? converge absolutely, converge conditionally, or diverge? (5n)" Choose the correct answer below and, if necessary, fill in the answer box to complete your choice O A. The series converges absolutely because the limit used in the Root Test is OB. The series diverges because the limit used in the nth-Term Test is different from zero, OC. The series converges conditionally per the Alternating Series Test and because the limit used in the...
please show all steps
00 Does the series 2 (-1)n +16+n 8+n converge absolutely, converge conditionally, or diverge? n=1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. O A The series diverges because the limit used in the Ratio Test is not less than or equal to 1. OB. The series converges absolutely because the corresponding series of absolute values is geometric with Ir] =- Oc. The series converges conditionally per...
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