5. Consider the series 23 R2+1 (a) Show that the series fits the criteria for the...
(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.
5. a. Write out the first 4 partial sums of the series -(-1)". b. Is In-,(-1)" a telescoping series? Explain why or why not. c. Is 29-(-1)" a conditionally convergent series? Explain why or why not. 6. Consider the series Enro esinʼn a. Explain why the integral test for determining if the series converges or diverges d not apply to this series. b. Determine whether the series converges or diverges using an appropriate test. 7. Consider the polar equation r...
(1 point) Consider the series jo 4+(-1)"n? 7n3 - 5 n1 Which of the following statements accurately describes the series? O A. The series converges by the Alternating Series Test. B. The series diverges by the Integral Test. O 4 C. The series converges by the Limit Comparison Test with the series ni 7n3 O D. The series converges by the Integral Test. O E. The series diverges by the Divergence Test.
5. Use the integral test to determine whether the series converges or diverges: n=1
neat steps please
Consider the series 2X=11/((k + 1)[In(k + 1)]?). Determine whether the series converges or diverges by using 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...
Use the integral test to determine whether the series converges. Show all work to justify your answer. vands n=1 Select one: O A. diverges O B. converges
Number 5 and 8
Use the integral test or divergence to determine whether the series converges. 4) 3 5) Sr Use the Alternating series test to Determine if the series converges or diverges.
Problem 5. (1 point) Consider the series j 6+ 6+(-1)"n5 11n5 4n Which of the following statements accurately describes the series? O A. The series diverges by the Divergence Test. OB. The series converges by the Integral Test. OC. The series converges by the Alternating Series Test. OD. The series diverges by the Integral Test. 6 E. The series converges by the Limit Comparison Test with the series ni 11n5