Which of the following statement is true forthe alternating series below?n=0n3 +1O The series diverges by AlternatingSeries test.O Alternating Series test cannot be used,because b,=1is not decreasing.n³ +1none of the others.O Alternating Series test cannot be used,1#0.n+0o n°+1because limThe series converges by AlternatingSeries test.

Answered: Which of the following statement is…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Consider the series San where n=1 (-1)"n n² + 2n + 5 In this problem you must attempt to use the Ratio Test to decide whether the series converges. Compute an = an+1 L = lim n-00 an Enter the numerical value of the limit L if it converges, INF if it diverges to infinity, -INF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity. L = 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:
Consider the series Σ(n+1)7²n+1 In this problem you must attempt to use the Ratio Test to decide whether the series converges. Compute L = lim n-00 an+1 an Enter the numerical value of the limit L if it converges, INF if it diverges to infinity, -INF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity. L = Motor in order 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:
11. Practice similar Help me with this By recognizing the series sum = −((3/4)) – as a Taylor series evaluated at a particular value of x, find the sum of the convergent series. ((3/4))² ((3/4))³ 2 ▶ ((3/4))" n
Determine convergence or divergence of the alternating series. (-1)n n=1 5n3 +1 Converges Diverges
answer C and D thank you
7a
Press to e (– 1)" Consider the series n7/6 n=1 1. Which of the following statements is true? (You may select more than one if appropriate. No partial credit is awarded for partially correct answers.) (- 1)" ! O The terms of the sequence are nonnegative. n7/6 n=1 1 O The terms of the sequence are decreasing. n7/6 n=1 O The Alternating Series Test may be applied to the series. O The given series is an alternating series. (– 1)" O The terms of the sequence are decreasing. n7/6 n=1 O The Integral Test may be applied to the series. O None of the above 2. 1 lim n→ o n7/6 3. Which of the following statements is true? (You may select more than one if appropriate.) OThe series converges conditionally. O The series converges absolutely. O The series diverges. O None of the above.

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