1) 3-홀 +음- 좋 27 a State the given series as sumlsiama) notation. bstate one be applied to determine If the Beries is convergent or divergent. possible test that can t.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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e) State another possible test (other than the test on (b)) that can be applied to determine if the series is convergent or divergent.

f) Show if the conditions for applying the test are met, then show all procedures applying the test for the given series.

g) State the conclusion by what test that you applied.
Transcribed Image Text:**Transcription:** e) State another possible test (other than the test on (b)) that can be applied to determine if the series is convergent or divergent. f) Show if the conditions for applying the test are met, then show all procedures applying the test for the given series. g) State the conclusion by what test that you applied.
**Series and Convergence Analysis**

1) The series given is:  
   \(3 - \frac{3}{3} + \frac{3}{9} - \frac{3}{27} + \ldots\)

   **a) State the given series as sum (sigma) notation:**

   - Use sigma notation to express the series in terms of an infinite sum.

   **b) State one possible test that can be applied to determine if the series is convergent or divergent:**

   - Identify and describe a convergence test (e.g., Ratio Test, Root Test) that can be used for this series.

   **c) Show if the conditions for applying the test are met, then show all procedures applying the test for the given series.**

   - Check the prerequisites of the chosen test.
   - Apply the test step-by-step to determine convergence or divergence.

   **d) State the conclusion by what test you applied.**

   - Provide the final result: is the series convergent or divergent?
Transcribed Image Text:**Series and Convergence Analysis** 1) The series given is: \(3 - \frac{3}{3} + \frac{3}{9} - \frac{3}{27} + \ldots\) **a) State the given series as sum (sigma) notation:** - Use sigma notation to express the series in terms of an infinite sum. **b) State one possible test that can be applied to determine if the series is convergent or divergent:** - Identify and describe a convergence test (e.g., Ratio Test, Root Test) that can be used for this series. **c) Show if the conditions for applying the test are met, then show all procedures applying the test for the given series.** - Check the prerequisites of the chosen test. - Apply the test step-by-step to determine convergence or divergence. **d) State the conclusion by what test you applied.** - Provide the final result: is the series convergent or divergent?
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