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(5 pts) Consider the series 8 W arctan(n) n6 n=1 (a) For all n > 1,...
(4 pts) Consider the series an where iM n=1 20n (8n? + 5) an = 5n...
(4 pts) Consider the series an where iM n=1 20n (8n? + 5) an = 5n (5128 +35) In this problem you must attempt to use the Root Test to decide whether the series converges. n00 Compute p= lim van Enter the numerical value of the limit p if it converges, INF if it diverges to infinity, MINF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity. p= DIV What is...
(3 pts) Consider the series where n=1 (7n + 4)54 a = (7751 +15) In this...
(3 pts) Consider the series where n=1 (7n + 4)54 a = (7751 +15) In this problem you must attempt to use the Root Test to decide whether the series converges. Compute p= lim Van Enter the numerical value of the limit pif it converges, INF if it diverges to infinity, MINF if it diverges to negative infinity, or DIV If it diverges but not to Infinity or negative infinity. P= What is the conclusion of the root test? O...
N/w Use the nth-Term Test for divergence to show that the series is divergent, or state that the test is inconclusi...
N/w Use the nth-Term Test for divergence to show that the series is divergent, or state that the test is inconclusive. 00 n+2 7) n 1 1 A) converges, B) diverges C) converges, 2 D) inconclusive Determine if the series converges or diverges. If the series converges, find its sum. 6 81 8) 4n-1)(4n+3) n-1 A) converges; 1 B) converges C) converges; : 1 D) diverges 6 9) n(n+ 1)(n+2) D) converges; n-1 C) diverges 2 3 B) converges; 4...
Determine whether the series converges or diverges. n + 1 Σ +n n = 1 The...
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...
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
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 point) Consider the series 5+(-1)"n3 6n3 – In n=1 Which of the following statements accurately...
(1 point) Consider the series 5+(-1)"n3 6n3 – In n=1 Which of the following statements accurately describes the series? A. The series converges by the Integral Test. B. The series diverges by the Divergence Test. C. The series converges by the Alternating Series Test. 8W 5 D. The series converges by the Limit Comparison Test with the series 6 6n3 n=1 O E. The series diverges by the Integral Test.
(1 point) Consider the series 5+(-1)"n3 6n3 – In n=1 Which of the following statements accurately...
(1 point) Consider the series 5+(-1)"n3 6n3 – In n=1 Which of the following statements accurately describes the series? A. The series converges by the Integral Test. B. The series diverges by the Divergence Test. C. The series converges by the Alternating Series Test. 8W 5 D. The series converges by the Limit Comparison Test with the series 6 6n3 n=1 O E. The series diverges by the Integral Test.
Problem 5. (1 point) Consider the series = 4+(-1)^n). 63 - 3n Which of the following...
Problem 5. (1 point) Consider the series = 4+(-1)^n). 63 - 3n Which of the following statements accurately describes the series? A. The series diverges by the Divergence Test. B. The series converges by the Limit Comparison Test with the series 613 C. The series converges by the Alternating Series Test. D. The series diverges by the Integral Test. E. The series converges by the Integral Test. Problem 6. (1 point) In order to determine the convergence or divergence of...
26. [-/1 Points] DETAILS SCALCET8 11.4.015. Determine whether the series converges or diverges. 00 62+1 n...
26. [-/1 Points] DETAILS SCALCET8 11.4.015. Determine whether the series converges or diverges. 00 62+1 n = 1 50 - 7 The series converges by the Comparison Test. Each term is less than that of a convergent geometric series. The series converges by the Comparison Test. Each term is less than that of a convergent p-series. The series diverges by the Comparison tyst. Each term is greater than that of a divergent p-series. The series diverges by the Comparison Test....
(4 pts) Consider the series an where iM n=1 20n (8n? + 5) an = 5n (5128 +35) In this problem you must attempt to use the Root Test to decide whether the series converges. n00 Compute p= lim van Enter the numerical value of the limit p if it converges, INF if it diverges to infinity, MINF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity. p= DIV What is...
(3 pts) Consider the series where n=1 (7n + 4)54 a = (7751 +15) In this problem you must attempt to use the Root Test to decide whether the series converges. Compute p= lim Van Enter the numerical value of the limit pif it converges, INF if it diverges to infinity, MINF if it diverges to negative infinity, or DIV If it diverges but not to Infinity or negative infinity. P= What is the conclusion of the root test? O...
N/w Use the nth-Term Test for divergence to show that the series is divergent, or state that the test is inconclusive. 00 n+2 7) n 1 1 A) converges, B) diverges C) converges, 2 D) inconclusive Determine if the series converges or diverges. If the series converges, find its sum. 6 81 8) 4n-1)(4n+3) n-1 A) converges; 1 B) converges C) converges; : 1 D) diverges 6 9) n(n+ 1)(n+2) D) converges; n-1 C) diverges 2 3 B) converges; 4...
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...
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
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 point) Consider the series 5+(-1)"n3 6n3 – In n=1 Which of the following statements accurately describes the series? A. The series converges by the Integral Test. B. The series diverges by the Divergence Test. C. The series converges by the Alternating Series Test. 8W 5 D. The series converges by the Limit Comparison Test with the series 6 6n3 n=1 O E. The series diverges by the Integral Test.
(1 point) Consider the series 5+(-1)"n3 6n3 – In n=1 Which of the following statements accurately describes the series? A. The series converges by the Integral Test. B. The series diverges by the Divergence Test. C. The series converges by the Alternating Series Test. 8W 5 D. The series converges by the Limit Comparison Test with the series 6 6n3 n=1 O E. The series diverges by the Integral Test.
Problem 5. (1 point) Consider the series = 4+(-1)^n). 63 - 3n Which of the following statements accurately describes the series? A. The series diverges by the Divergence Test. B. The series converges by the Limit Comparison Test with the series 613 C. The series converges by the Alternating Series Test. D. The series diverges by the Integral Test. E. The series converges by the Integral Test. Problem 6. (1 point) In order to determine the convergence or divergence of...
26. [-/1 Points] DETAILS SCALCET8 11.4.015. Determine whether the series converges or diverges. 00 62+1 n = 1 50 - 7 The series converges by the Comparison Test. Each term is less than that of a convergent geometric series. The series converges by the Comparison Test. Each term is less than that of a convergent p-series. The series diverges by the Comparison tyst. Each term is greater than that of a divergent p-series. The series diverges by the Comparison Test....
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