Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. k5 8 Σ k=0 10k5 +1 Select the correct answer below and fill in the answer box to complete your choice. OA. According to the Divergence Test, the series converges because lim ak = 814 (Simplify your answer.) OB. According to the Divergence Test, the series diverges because lim ak = k→∞ (Simplify your answer.) OC. The Divergence Test is inconclusive because lim ak = k→∞ (Simplify your answer.) D. The Divergence Test is inconclusive because lim ak does not exist. k→∞
Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. k5 8 Σ k=0 10k5 +1 Select the correct answer below and fill in the answer box to complete your choice. OA. According to the Divergence Test, the series converges because lim ak = 814 (Simplify your answer.) OB. According to the Divergence Test, the series diverges because lim ak = k→∞ (Simplify your answer.) OC. The Divergence Test is inconclusive because lim ak = k→∞ (Simplify your answer.) D. The Divergence Test is inconclusive because lim ak does not exist. k→∞
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Does the following series diverge or is it inconclusive?
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