Comparison tests Use the Comparison Test or Limit Comparison Test to determine whether the following series converge.
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- How do you use the direct comparison test and the limit comparison test to compare these two series?arrow_forwarddetermine if series is convergence or divergent and identify which test you usearrow_forwardTest the series for convergence or divergence. 1 1 ... 6. n = 1 O converges O diverges +arrow_forward
- We want to use the Basic Comparison Test (sometimes called the Direct Comparison Test or just the Comparison Test) to determine if the series: k5 16 - converges or diverges by comparing it with: k We can conclude that: The first series diverges by comparison with the second series. The Basic Comparison Test is inconclusive in this situation. O The first series converges by comparison with the second series.arrow_forwardHelp me fast so that I will give Upvote.arrow_forwardMake a guess abou the convergence or divergence of the series, and confirm your guessing using the Comparison Test. Please indicate the solution.arrow_forward
- DETAILS Consider the following series. 12 9.4.501.XP. n=1 Use the Direct Comparison Test to complete the inequality. 1 -2- n 8 Determine the convergence or divergence of the series. O converges O diverges Submit Answerarrow_forward00 Does the seriesE(- 1n+12+n° n4 converge absolutely, converge conditionally, or diverge? n= 1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. The series converges absolutely per the Comparison Test with > 00 n4 n= 1 B. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. OC. The series converges conditionally per the Alternating Series Test and the Comparison Test with n= 1 D. The series converges absolutely because the limit used in the nth-Term Test is E. The series diverges because the limit used in the nth-Term Test does not exist. O F. The series converges conditionally per the Alternating Series Test and because the limit used in the Ratio Test isarrow_forward