Comparison tests Use the Comparison Test or the Limit Comparison Test to determine whether the following series converge.
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- Pls help ASAP. Pls do all of it pls just do all the things that is required pls i beg.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_forward05* Let p, q> 0. Find the relation of p and q so that the following series is convergent. p>1 and p=1,q>1 p1 p1 and p=1, q<1 8 n=1 1 n²(Inn)arrow_forward
- State whether it converges or diverges. Justify it using either a basic divergence, integral, basic comparison, limit comparison, alternating series, root or ratio testarrow_forwardselect the correct answer and explain step by steparrow_forwardFind the interval of convergence for the given power series. (x - 4)" Σ n(- 9)" n=1 The series is convergent from x = left end included (enter Y or N): to x = right end included (enter Y or N): M C ㅈ # $ A de L % 5 6 D 8 7 8 9 #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_forwardjse the Ratio Test to decide whether 3n is convergent or divergent. 100 the series 2* 'n=2 n2"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_forward
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