Comparison tests Use the Comparison Test or Limit Comparison Test to determine whether the following series converge.
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- A 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_forwardI need help on this. Thank youarrow_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_forward
- How do you use the direct comparison test and the limit comparison test to compare these two series?arrow_forwardTest the series for convergence or divergence. 1 1 ... 6. n = 1 O converges O diverges +arrow_forwardWe 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_forward
- Evaluate the series or state that it diverges.arrow_forwardUsing the Direct Comparison Test or the Limit Comparison Test determine if the series converges or diverges.arrow_forwardn3 Use the limit comparison test with the p-series to determine whether S 2n5 – 4n – 1 converges or diverges. n=2 The limit comparison test cannot be applied to these two series. S converges. S diverges. The test is inconclusive.arrow_forward