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Comparison tests Use the Comparison Test or Limit Comparison Test to determine whether the following series converge.
34.
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Calculus: Early Transcendentals (3rd Edition)
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- ✓ 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_forwardselect the correct answer and explain step by steparrow_forwarddetermine if series is convergence or divergent and identify which test you usearrow_forward
- A 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_forwardn3 Use the limit comparison test with the p-series to determine whether S 2n5 – 4n – 1 converges or diverges. n=2 The limit comparison test cannot be applied to these two series. S converges. S diverges. The test is inconclusive.arrow_forwardDetermine the lonvergence or divergence ofeach Series. Jushify your Ansuar (a) 2nt1 Inn n=2 2N (e) n? +4arrow_forward
- We want to use the Basic Comparison Test (sometimes called the Direct Comparison Test or just the Comparison Test) to determine if the series: k5 16 - converges or diverges by comparing it with: k We can conclude that: The first series diverges by comparison with the second series. The Basic Comparison Test is inconclusive in this situation. O The first series converges by comparison with the second series.arrow_forward(BC Topic) (Technology Permitted) If the sum of the series Ž n = 1 n first four terms, what is the maximum error of this estimate? Select one: a. 0.015 O b. 0.042 0.097 0.008 O c. d. 3 is estimated by the sum of the 4arrow_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
- Determine whether the series converges or diverges. 15n! n n = 1 The series converges by the Limit Comparison Test with a convergent p-series. The series converges by the Direct Comparison Test. Each term is less than that of the harmonic series. The series diverges by the Direct Comparison Test. Each term is greater than that of a divergent geometric series. O The series diverges by the Limit Comparison Test with a divergent geometric series.arrow_forwardTest the series for convergence or divergence. 1 1 ... 6. n = 1 O converges O diverges +arrow_forward00 Does the seriesE(- 1n+12+n° n4 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 converges absolutely per the Comparison Test with > 00 n4 n= 1 B. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. OC. The series converges conditionally per the Alternating Series Test and the Comparison Test with n= 1 D. The series converges absolutely because the limit used in the nth-Term Test is E. The series diverges because the limit used in the nth-Term Test does not exist. O F. The series converges conditionally per the Alternating Series Test and because the limit used in the Ratio Test isarrow_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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