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_forwardBinomial seriesa. Find the first four nonzero terms of the binomial series centered at 0 for the given function.b. Use the first four terms of the series to approximate the given quantity.arrow_forward
- choices: 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_forwardHow 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_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_forwardUse the Direct Comparison Test to determine the convergence or divergence of the series. 3n + 8 n = 1 ? v 3n + 8 converges divergesarrow_forwardEvaluate the series or state that it diverges.arrow_forward
- select the correct answer and explain step by steparrow_forwardBinomial seriesa. Find the first four nonzero terms of the binomial series centered at 0 for the given function.b. Use the first four terms of the series to approximate the given quantity.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