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Comparison tests Use the Comparison Test or the Limit Comparison Test to determine whether the following series converge.
13.
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Calculus: Early Transcendentals (3rd Edition)
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- 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_forwardIf a growth series and a linear series are specified that start at 1 and have a step value of 2, which series has a larger value when the 10th value is reached in each series? O The growth series is not provided by Excel O The growth series They are equivalent O The linear seriesarrow_forwardn3 + 2 1. (15 p) Determine if the series converges or diverges. +3 n=1 Give reason for your answer.arrow_forward
- Use the Comparison or the Limit Comparison test to show convergence ordivergence of each series.arrow_forwardchoices: a. true b. false c. others (specify) 1. Stationary series are series with roughly horizontal with constant variance. 2.A non-stationary series the ACF drops to zero quickly. 3. The PACF of the stationary series is decaying exponentially,arrow_forwardA FINAL EXAM TO BE COMPLETED INDEPENDENTLY. 13. Consider the four p-series listed below. Briefly explain whether each series converges or diverges. (a) 2n-1 no3 (b) 1n-4 1 (c) En 1 (d) E -1arrow_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_forwarddevsi subject-Accountingarrow_forwardHodo this. 2. Apply the Direct Comparison Test to the series (a) determine the contrived series, (b) state the behavior of the contrived series (converges oA divergesand briefly explain why the contrived series behaves in this way land (c) draw a conclusion about the behavior of the given series possible. In drawing a conclusion about the given series, be sureto show that the hypotheses of the Direct Comparison Test hold! In particular, you USA Gxplain any relationship between an and b (a) CONTRIVED SERIES: (WRITE YOUR CONTRIVED SERIES IN THE SPACE BELOW,)arrow_forward
- Use the limit comparison test or comparison test to determine if the series converges or diverges. En=0 4n+I a. Demonstrate a limit or inequality that compares the given pattern to another series. Make sure to state what that series is that you are using for comparison. b. Address the convergence of divergence of your comparison series and how it relates to the convergence or divergence of your given series.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_forwardUse the Limit Comparison Test to determine the convergence or divergence of the series. 00 1 nV n4 + 4 n = 1 1 in + 4 lim = L> 0 converges O diverges Need Help? Read It Watch It Submit Answerarrow_forward
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