suppose San and Ση are series with positive terms and bn is known to be divergent. n (a) If an> bn for all n, what can you say about an? Why? a diverges by the Comparison Test. O We cannot say anything about an Ο Σ a converges if and only if n n.an z bn a converges if and only if 2a, ² b > a converges by the Comparison Test. (b) If an < b for all n, what can you say about an? Why? b Ο Σan converges if and only if an S n 4 a converges by the Comparison Test. a diverges by the Comparison Test. Ο We cannot say anything about San b O a converges if and only if an n

Q: 19. Give an example of divergent series E ak and E, bu such that the series E akbk converges.

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Q: IfΣ α, and Σ bp and E bn are convergent series, then E anbn is also convergent. 10. E an

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Q: Suppose the series an converges to a number S. Let_R=S-Sn. n=1 Determine the truth of the following…

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Q: 7. Determine whether the series Σn=1 n 5n 6n+2 is convergent or divergent.

A: Necessary condition for convergence  :                         Necessary condition for…

Q: The series En$ is a divergent p-series. -1/3 Select one: O True False

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Q: Suppose an = n=1 Ž n=1 Consider the two series 1 5n n=1 and bn 2. n=1 ܬ ܀ n=1 an converges and an…

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Q: 10. If E an and E bn are convergent series, then E anbn is also convergent.

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Q: The goal of this problem is to justify the following statement by using the Comparison Test for…

A: To prove the given statement using the comparison test.

Q: Which of the following conditions are necessary to conclude that the series an converges using the…

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Q: 3 A. Determine if the series =1212ria converges or diverges. If it is convergent find its value. В.…

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Q: an Suppose 2 a, and 2 bn are series with positive terms. If lim = c, where c is and value of C is…

A: We have to complete the statement

Q: 6. 1 Prove that the series Σ converges to a number between 2n + 1 n=1 2/3 and 4/5. Hint: The…

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Q: Consider two series E-1 an and E bn. Suppose 0 4. Which of the following statements are correct? I.…

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Q: The series 3 k 1 3. is 3. convergent to O None divergent convergent to 3 convergent to

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Q: 2. Suppose E an has partal Sn = an the series converge ? Sums n=1,2,3,-- O Does Find al- ☺ Find an…

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Q: The series 1- √n Σ(L)* 4√n +1) n=2 n

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