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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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