Donnie Smith Assignment Section 8.4 due 04/28/2017 at 11:59pm MST Enter the numerical value of the limit L 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. L= 1. (1 point) Consider the series Sharma MAT 266 ONLINE B Spring 2017 an where n=1 (4n + 3)8n+2 11n In this problem you must attempt to use the Ratio Test to decide whether the series converges. an = Which of the following statements is true? A. The Ratio Test says that the series converges absolutely. B. The Ratio Test says that the series diverges. C. The Ratio Test says that the series converges conditionally. D. The Ratio Test is inconclusive, but the series converges absolutely by another test or tests. E. The Ratio Test is inconclusive, but the series diverges by another test or tests. F. The Ratio Test is inconclusive, but the series converges conditionally by another test or tests. Enter the letter for your choice here: Compute an+1 L = lim n an Enter the numerical value of the limit L 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. L= Answer(s) submitted: Which of the following statements is true? A. The Ratio Test says that the series converges absolutely. B. The Ratio Test says that the series diverges. C. The Ratio Test says that the series converges conditionally. D. The Ratio Test is inconclusive, but the series converges absolutely by another test or tests. E. The Ratio Test is inconclusive, but the series diverges by another test or tests. F. The Ratio Test is inconclusive, but the series converges conditionally by another test or tests. Enter the letter for your choice here: (incorrect) 3. (1 point) Consider the series n=1 In this problem you must attempt to use the Ratio Test to decide whether the series converges. Compute Answer(s) submitted: (3)/(11) D an+1 L = lim n an Enter the numerical value of the limit L 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. L= (incorrect) 2. (1 point) Consider the series an where n=1 an = 15n (n + 1)112n+1 n+8 (n + 6)! en+3 Which of the following statements is true? A. The Ratio Test says that the series converges absolutely. B. The Ratio Test says that the series diverges. C. The Ratio Test says that the series converges conditionally. D. The Ratio Test is inconclusive, but the series converges absolutely by another test or tests. E. The Ratio Test is inconclusive, but the series diverges by another test or tests. In this problem you must attempt to use the Ratio Test to decide whether the series converges. Compute an+1 L = lim n an 1 F. The Ratio Test is inconclusive, but the series converges conditionally by another test or tests. Enter the letter for your choice here: Compute an+1 L = lim n an Enter the value of L. If L is finite, enter the numerical value. Otherwise, enter INF if L diverges to infinity, MINF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity. Answer(s) submitted: (incorrect) 4. (1 point) Consider the series L= an where n=1 an = (1)n n2 n2 2n 3 Which of the following statements is true? In this problem you must attempt to use the Ratio Test to decide whether the series converges. A. The Ratio Test says that the series converges absolutely. B. The Ratio Test says that the series diverges. C. The Ratio Test says that the series converges conditionally. D. The Ratio Test is inconclusive, but the series converges absolutely by another test or tests. E. The Ratio Test is inconclusive, but the series diverges by another test or tests. F. The Ratio Test is inconclusive, but the series converges conditionally by another test or tests. Compute an+1 L = lim n an Enter the numerical value of the limit L 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. L= Select the letter for your choice here: ? Answer(s) submitted: (incorrect) Which of the following statements is true? A. The Ratio Test says that the series converges absolutely. B. The Ratio Test says that the series diverges. C. The Ratio Test says that the series converges conditionally. D. The Ratio Test is inconclusive, but the series converges absolutely by another test or tests. E. The Ratio Test is inconclusive, but the series diverges by another test or tests. F. The Ratio Test is inconclusive, but the series converges conditionally by another test or tests. Enter the letter for your choice here: 6. (1 point) Use the ratio test to determine whether converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n 11, an+1 = lim lim n n an (b) Evaluate the limit in the previous part. Enter as infinity and as\f-infinity. If the limit does not exist, enter DNE. an+1 = lim n an Answer(s) submitted: (incorrect) (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose Converges Diverges Inconclusive 5. (1 point) Consider the series n+5 n=11 n! (1)n+1 14n1 (n + 8)5 13n+2 n=1 In this problem you must attempt to use the Ratio Test to decide whether the series converges. Answer(s) submitted: 2 Choose Converges Diverges Inconclusive (incorrect) 7n 2 n=17 (7n) 7. (1 point) Use the ratio test to determine whether Answer(s) submitted: converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n 17, an+1 = lim lim n an n (incorrect) 9. (1 point) Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive. (b) Evaluate the limit in the previous part. Enter as infinity and as\f-infinity. If the limit does not exist, enter DNE. an+1 = lim n an en nn n=1 a = lim n+1 an = (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose Converges Diverges Inconclusive (Enter 'inf' for .) n n e nn is: n=1 A. convergent B. divergent C. The Ratio Test is inconclusive Answer(s) submitted: Answer(s) submitted: (incorrect) 10. (1 point) Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive. (incorrect) 8. (1 point) Use the ratio test to determine whether n5n converges or diverges. n=21 (n + 2)! n2 n5 + 8 n=1 (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n 21, an+1 = lim lim n an n a = lim n+1 an = n n2 (Enter 'inf' for .) n5 + 8 is: n=1 A. convergent B. divergent C. The Ratio Test is inconclusive (b) Evaluate the limit in the previous part. Enter as infinity and as\f-infinity. If the limit does not exist, enter DNE. an+1 = lim n an Answer(s) submitted: (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? (incorrect) c Generated by WeBWorK, http://webwork.maa.org, Mathematical Association of America 3