Comparison tests Use the Comparison Test or Limit Comparison Test to determine whether the following series converge.
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- ✓ Q N For the series -e, determine which convergence test (if any) is the best to use. Select the correct answer below: @ O The alternating series test. The ratio test. The root test. O The limit comparison test. O None of the above. 2 W ∞0 Content attribution S X n=1 H command # 3 80 E D C $ 4 R F % 5 V T G ^ X6 MacBook Pro Y & 7 H U N * 00 8 J - M - 9 K O ) 0 < I H FEEDBACK 4 P A command را 0arrow_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_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
- I 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_forwardEvaluate the series or state that it diverges.arrow_forward
- Determine the lonvergence or divergence ofeach Series. Jushify your Ansuar (a) 2nt1 Inn n=2 2N (e) n? +4arrow_forwardKim 78% 3.x" Find the interval of convergence of the power series n2 n=1 Editarrow_forwardUse the Direct Comparison Test to determine the convergence or divergence of the series. 3n + 8 n = 1 ? v 3n + 8 converges divergesarrow_forward
- Test the series for convergence or divergence. 1 1 ... 6. n = 1 O converges O diverges +arrow_forwardUse the Direct Comparison Test to determine the convergence or divergence of the series. 00 1 3n2. + 6 n = 1 1 3n2 + 6 converges divergesarrow_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
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