Test the following series for convergence or divergence. Decide for yourself which test is easiest to...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Test the following series for convergence or divergence. Decide for yourself which test is easiest to use, but don't forget the preliminary test. Use the facts stated above when they apply. -1 - 1. S 1 2. 3. (n + 2)(n + 3) 12 + 1 nhn3 n n 4. (n!)? 5. n + 4 (2n)! (2n)! 7. 8. 3n (n!)² 0 ท 10. (1) 1 11. 2 ท 13. 14. (n²+4)3/2 0 DO 2+(-1)" 17. n2+7 n=0 16. n=1 n-0 IM IM IM IM8 IM8 IM8 4 20 L", 12 – 9 (-1)" - (n!)* (3n)! Σ 6. 9. 12. 15. 18. IM IM IM IM8 M8 M8 ท (1)"n! 10T (-1)" 2nn Test the following series for convergence or divergence. Decide for yourself which test is easiest to use, but don't forget the preliminary test. Use the facts stated above when they apply. -1 - 1. S 1 2. 3. (n + 2)(n + 3) 12 + 1 nhn3 n n 4. (n!)? 5. n + 4 (2n)! (2n)! 7. 8. 3n (n!)² 0 ท 10. (1) 1 11. 2 ท 13. 14. (n²+4)3/2 0 DO 2+(-1)" 17. n2+7 n=0 16. n=1 n-0 IM IM IM IM8 IM8 IM8 4 20 L", 12 – 9 (-1)" - (n!)* (3n)! Σ 6. 9. 12. 15. 18. IM IM IM IM8 M8 M8 ท (1)"n! 10T (-1)" 2nn
Expert Answer:
Answer rating: 100% (QA)
1By the comparison test the series is divergent 2 By the limit testthe series is divergent 3 B... View the full answer
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
Test the following series for convergence
-
Test the following series for convergence 0 1/n n=0
-
Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If at least one test can be applied to the series, enter CONV if it converges or DIV if...
-
There are three general methods of allocating overhead costs: plantwide rates, rates for each expense category, and departmental rates. Describe when each is the most useful.
-
Compare and contrast the COBIT definition of control in this chapter with definitions in Chapter 7 for ERM, the COSO definition of internal control, and this textbooks definition of internal control.
-
(a) In the proof of Lemma 7.2.2 it is claimed that for some integers x, y, ax+py = 1. Based on this proof, give a different, much shorter proof of Lemma 7.2.9 that uses gcd (s, u) = 1. (b) Assume d =...
-
For the loads listed: c. What size inverter (peak watts) should she purchase? d. If the inverter is \(88 \%\) efficient, how much more daily energy is required from the \(\mathrm{PV}\) array as...
-
Kemp Co. has delivery equipment that cost $50,000 and has been depreciated $24,000. Instructions Record entries for the disposal under the following assumptions. (a) It was scrapped as having no...
-
Victory Company uses weighted average process costing. The company has two production processes. Conversion cost is added evenly throughout each process. Direct ma added at the beginning of the first...
-
Design a steam power cycle that can achieve a cycle thermal efficiency of at least 40 percent under the conditions that all turbines have isentropic efficiencies of 85 percent and all pumps have...
-
Read the following as well as any other published articles on the bankruptcy of the partnership of Laventhol & Horwath: "Laventhol Says It Plans to File for Chapter 11," The Wall Street Journal,...
-
What are just-in-time systems? What are their advantages? Why is quality especially important if a JIT system is used?
-
What is the concept behind the EOQ model?
-
What are the components of total inventory costs?
-
Agreement to a proposal or an offer. a. acceptance b. counteroffer c. invitation to tra de d. lapse of time e. mailbox r ule f. offeree g. offeror h. public of fer i. request f or a pr oposal j....
-
What are some specific inventory carrying costs? As defined here, are these costs fixed or variable?
-
Consider the nonlinear dynamical system: * (1)=x(1)+3tan.x2 (1) + u(1), *2 (1) sinx2 (1)+3x1(1), y(t)=x(1). which has two states x () and x2(); a single input u(1); and a single output y(r). (a) (5...
-
On average there are four traffic accidents in a city during one hour of rush-hour traffic. Use the Poisson distribution to calculate the probability that in one such hour there arc (a) No accidents...
-
(a) What is a differential equation? (b) What is the order of a differential equation? (c) What is an initial condition?
-
When a flexible cable of uniform density is suspended between two fixed points and hangs of its own weight, the shape y = f(x) of the cable must satisfy a differential equation of the form Where is a...
-
In Section 9.3 we looked at mixing problems in which the volume of fluid remained constant and saw that such problems give rise to separable equations. (If the rates of flow into and out of the...
-
Is it always possible to discern a trend in any time-series data? What problems might arise if trends are apportioned to time-series data that are not really present?
-
Why might household and firms confidence and expectations change leading to deviations in output from trend? Is there any way in which changes in confidence can be measured to provide an indicator of...
-
Firms experience a rise in stocks. Explain why this might have occurred and what you expect firms response to this event might be and how this might affect output.
Study smarter with the SolutionInn App