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Applying convergence tests Determine whether the following series converge. Justify your answers.
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Calculus: Early Transcendentals (3rd Edition)
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- The series E (-1)" converges conditionally. Identify 2 test that conclude this statement. n=1 n+4 Choose among the choices and write your answer on the blanks in an alphabetical order: geometric, harmonic, hyperharmonic, telescoping, divergence, integral, comparison, limit comparison, ratio, root, alternating andarrow_forwardFind the radius of convergence, R, of the series. 2(-1)" (x - 3)" 2n + 1 R = Find the interval, I, of convergence of the series. (Enter your answer using interval notation.)arrow_forwardState whether it converges or diverges. Justify it using either a basic divergence, integral, basic comparison, limit comparison, alternating series, root or ratio testarrow_forward
- Determine if each sequence or series below converges or diverges. Please show work!arrow_forwardOSelect the FIRST correct reason why the given series converges. A. Convergent geometric series B. Convergent p series c. Comparison (or Limit Comparison) with a geometric or p series D. Alternating Series Test E. None of the above (n + 1)(8)" 1. 32n (-1)" 2. 7n + 5 n=1 00 3. (-1)"- n+3 7(7)" A 4. 2n sin (4n) 5. n? (-1)" In(e") n² cos(na) 00 6.arrow_forwardI believe I am not getting using the correct series. in the denominator I am using (5n). Not sure if i am just approaching the question wrong.arrow_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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