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Choose your test Use the test of your choice to determine whether the following series converge.
41.
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Calculus: Early Transcendentals (3rd Edition)
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- Using the Direct Comparison Test or the Limit Comparison Test determine if the series converges or diverges.arrow_forwardFind the interval of convergence for the given power series. (x - 4)" Σ n(- 9)" n=1 The series is convergent from x = left end included (enter Y or N): to x = right end included (enter Y or N): M C ㅈ # $ A de L % 5 6 D 8 7 8 9 #arrow_forward↑ Use an appropriate test to determine whether the following series converges. IM8 Σ 1 k=2 (k-1)4 Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) 00 A. The series diverges by the Integral Test. The value of S 1 Oc. The series diverges. It is a p-series with p = D. The series converges. It is a p-series with p = 2 (x-1) OB. The series diverges by the Divergence Test. The value of lim 1 k→∞ (k-1) dx is OE. The series converges by the Divergence Test. The value of lim 4 1 k→∞ (k-1) is 4 is COD layer/player.aspx?cultureld=&theme=math&style=highered&disableStandbyIndicator=true&assignmentHandles Locale=true# This question: 1 pointearrow_forward
- 05* Let p, q> 0. Find the relation of p and q so that the following series is convergent. p>1 and p=1,q>1 p1 p1 and p=1, q<1 8 n=1 1 n²(Inn)arrow_forwardWe want to use the Alternating Series Test to determine if the series: Σ (-1)+2 k=4 converges or diverges. We can conclude that: k² √5 + 19 O The Alternating Series Test does not apply because the absolute value of the terms are not decreasing. O The Alternating Series Test does not apply because the absolute value of the terms do not approach 0, and the series diverges for the same reason. O The series diverges by the Alternating Series Test. O The Alternating Series Test does not apply because the terms of the series do not alternate. O The series converges by the Alternating Series Test.arrow_forwarddevsi subject-Accountingarrow_forward
- ✓ Q N For the series -e, determine which convergence test (if any) is the best to use. Select the correct answer below: @ O The alternating series test. The ratio test. The root test. O The limit comparison test. O None of the above. 2 W ∞0 Content attribution S X n=1 H command # 3 80 E D C $ 4 R F % 5 V T G ^ X6 MacBook Pro Y & 7 H U N * 00 8 J - M - 9 K O ) 0 < I H FEEDBACK 4 P A command را 0arrow_forwardFind the value of x for which the given geometric series converges.Also, find the sum of the series.arrow_forwardA FINAL EXAM TO BE COMPLETED INDEPENDENTLY. 13. Consider the four p-series listed below. Briefly explain whether each series converges or diverges. (a) 2n-1 no3 (b) 1n-4 1 (c) En 1 (d) E -1arrow_forward
- Make a guess abou the convergence or divergence of the series, and confirm your guessing using the Comparison Test. Please indicate the solution.arrow_forwardUse any method to determine if the series converges or diverges. Give reasons for your answer. 00 (n+4)! n=1 4/nl4 Σ Select the correct choice below and fill in the answer box to complete your choice. OA. The series converges because the limit used in the nth-Term Test is OB. The series converges because the limit used in the Ratio Test is OC. The series diverges because the limit used in the nth-Term Test is OD. The series diverges because the limit used in the Ratio Test is Next qarrow_forwardCould you please show your working out? Thank you so mucharrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
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