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Apply the ratio test to the following series. a. Compute the ratio and its limit. Simplify the ratio. Give an exact answer for the limit if it is a number. Otherwise, enter ∞ if the limit is infinite, or enter DNE if the limit does not exist in another way. lim ∞0734 ak+1 ak lim k→∞ k 9k-1 (k+1) ².8k Conclusion: The series diverges = 0 b. Based on your answer in Part a., determine whether the series converges, diverges, or that the ratio test is inconclusive. because the limit in Part a. is greater than 1.

Apply the ratio test to the following series. a. Compute the ratio and its limit. Simplify the ratio. Give an exact answer for the limit if it is a number. Otherwise, enter ∞ if the limit is infinite, or enter DNE if the limit does not exist in another way. lim ∞0734 ak+1 ak lim k→∞ k 9k-1 (k+1) ².8k Conclusion: The series diverges = 0 b. Based on your answer in Part a., determine whether the series converges, diverges, or that the ratio test is inconclusive. because the limit in Part a. is greater than 1.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Apply the ratio test to the following series. lim k→∞ a. Compute the ratio and its limit. Simplify the ratio. Give an exact answer for the limit if it is a number. Otherwise, enter ∞ if the limit is infinite, or enter DNE if the limit does not exist in another way. ak+1 ak 2 = lim k→∞ k ∞ 9k-1 k=1 (k+1)².8k Conclusion: The series diverges = 0 b. Based on your answer in Part a., determine whether the series converges, diverges, or that the ratio test is inconclusive. because the limit in Part a. is greater than 1.
Transcribed Image Text:Apply the ratio test to the following series. lim k→∞ a. Compute the ratio and its limit. Simplify the ratio. Give an exact answer for the limit if it is a number. Otherwise, enter ∞ if the limit is infinite, or enter DNE if the limit does not exist in another way. ak+1 ak 2 = lim k→∞ k ∞ 9k-1 k=1 (k+1)².8k Conclusion: The series diverges = 0 b. Based on your answer in Part a., determine whether the series converges, diverges, or that the ratio test is inconclusive. because the limit in Part a. is greater than 1.
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