5

Which ol the following tests can You use declde whether Ihe seriesn" sin(1/Gn?) n? + 7(-1)"converges Or noi? 0 The dlvergence testThe comparison wilh (,1T...

Question

Which ol the following tests can You use declde whether Ihe seriesn" sin(1/Gn?) n? + 7(-1)"converges Or noi? 0 The dlvergence testThe comparison wilh (,1The Integral te5t wllh _ 'f(ck- 2 sin(4!r The Ilmit compaikson vrth an I/n" Tnc Allernating Serle: test

Which ol the following tests can You use declde whether Ihe series n" sin(1/Gn?) n? + 7(-1)" converges Or noi? 0 The dlvergence test The comparison wilh (,1 The Integral te5t wllh _ 'f(ck- 2 sin(4!r The Ilmit compaikson vrth an I/n" Tnc Allernating Serle: test



Answers

Review In Exercises $53-70$ , determine the convergence or divergence of the series using any any any any appropriate test from this chapter. Identify the test used.
$$\sum_{n=1}^{\infty} \frac{n}{2 n^{2}+1}$$

Here we have the lock in knock and over in square submission in free on one to Eun pregnancy. Yeah, so here we're going to use comparison test. So the super ants we have going to compress a compare on ISS, some inching inimical to one to your dependency one over end to the 1.5. So this is some arbitrary number. So in general, it can be That's smarter than to bigger than one. So any average remember, It's okay. So here we choose 1.5, we may consider the ratio for you, then poof, They lock in over it in square Dubai. Bye. Wonder where in 1.5. So the ratio is you go to log in over in the input Fine here with intense infinity. So this number since here we have a log close here we have their end to some power goes, so we know eventually into some power will, um, faster than Logan. So this will go to zero. So according to the Comm Presents House, if we have the ratio, it's going to and convert to one. So this Nimitz goes to their own No. 10 So and also this sequence according to the power test, since 1.5 is bigger than one. So this Siri's commercialise then we know according to the compress and test we know these secrets were convergence.

Okay, So in the integral off l and of X, divided by X squared if we let you is equal Tol and of accident d'you is equal and Devi Sri Devi is equal to one over X square. You can use an integral calculator or soul through using you TV so that use that equal to one over X and V is equal to the integral of the integral of extra parrot maker to DX. So therefore we can continue yet using local tolls rule. We have the limit as an approaches infinity off ln of end about l n of n divided by and square who'll be using low Beatles rule. This becomes one over and divided by two and which is equal to one over two and square which is equal to zero and zero is less than one. The Siri's convergence

All right. So the given see reason alternating Siri's with a sub n is equal to n times ln off And so therefore we take the limit as n approaches infinity over these up and we get this is equal to the limit as it approaches infinity of one over end times Ellen offend, which is equal to one over end times divided by L s So using Logan tells rule we end up with the limit as an approaches infinity and approaches infinity of negative one over and squared, multiplied by end which is equal to negative one over. And this is equal to zero So that that's the first condition of the O S. C, which is satisfied. So now if we define am and equal one over and plus one times ln of anyth plus one all right, that's n plus one like that. So then we also have an plus one a and plus one which is equal to oh, the same thing so that this is an flys once right, so on. Therefore, we know that a n plus one a n plus one is less than a n. So the second commissioner's satisfied, So therefore the given serious must converge

In this problem, we're going to use several ideas. First is absolute value convert tress to mergers and also the comparison tests test. So we first take the absolute value of a N. It's his beacon to absolute value a call sign and, uh, see to the ends power. Since we know absolute value of X of any ex, you take the absolute value. It's always smaller than one. So this, well, smaller than one over speech the ends power we know for this series it is Joe. Matter sounds right. So some mention one were sweet to the ends power whelk Overtures. Then, according to the comparison task, this Siri's dimension a. M. We're also converges according to they're comparison tests Direct comparisons house then, since a and absolute value converges according to the idea of absolute value camp abs absolutes converges. We know Sam mentioned alien were converges


Similar Solved Questions

5 answers
Shic?z thstJf ejd cjy i :0+6
Shic?z thst Jf ejd cjy i : 0+6...
5 answers
Base your answer to the following question on the electron configuration for the ground state of element X, given below: 1s22s22p63s23p4 Wnich element is X most chemically similar to?berylliumcaronnitrogenoxygen
Base your answer to the following question on the electron configuration for the ground state of element X, given below: 1s22s22p63s23p4 Wnich element is X most chemically similar to? beryllium caron nitrogen oxygen...
5 answers
[5 points] What is the magnitude of the magnetic force == 'ab' of the wire? on segmentFon segment ab [N] 2 [5 points] The direction of the magnetic force on the segment 'ab' of the wire is:3 [5 points] What is the magnitude of the magnetic force € 'be' of the wire? on segmentF on segment be [NJ [5 points] The direction of the magnetic force On the segment "be' of the wire is:
[5 points] What is the magnitude of the magnetic force == 'ab' of the wire? on segment Fon segment ab [N] 2 [5 points] The direction of the magnetic force on the segment 'ab' of the wire is: 3 [5 points] What is the magnitude of the magnetic force € 'be' of the wi...
5 answers
Three equal point charges 9 = 20uC are located at polnts with coordinates (- 4.0cm, 0), '(4.Ocm; OJand (0,8.0 cm) asshown: electric potential at the origin? What Is the ke = (1/4neo) 9x10"Nm?/c? 8.85x 10*12 C?/N.m?Select one: A.6.75 * 105V B.1125x 105VC.225* 105V 0.450 * 10*V E.90x 1OSV
Three equal point charges 9 = 20uC are located at polnts with coordinates (- 4.0cm, 0), '(4.Ocm; OJand (0,8.0 cm) asshown: electric potential at the origin? What Is the ke = (1/4neo) 9x10"Nm?/c? 8.85x 10*12 C?/N.m? Select one: A.6.75 * 105V B.1125x 105V C.225* 105V 0.450 * 10*V E.90x 1OSV...
4 answers
Question 13Gopts 91 Onaly Find a formula for the general term Gn of the sequence_ continues; assuming the pattern of the lirst faw terms:13161925 243Assume the first term is 01
Question 13 Gopts 91 Onaly Find a formula for the general term Gn of the sequence_ continues; assuming the pattern of the lirst faw terms: 13 16 19 25 243 Assume the first term is 01...
5 answers
TRENDS IN THE PERIODIC TABLEPERIODGROUPGROUPElectroneu;IonizatlonL M 1 Aromic radiusSUBMITecboo le
TRENDS IN THE PERIODIC TABLE PERIOD GROUP GROUP Electroneu; Ionizatlon L M 1 Aromic radius SUBMIT ecboo le...
5 answers
Find the change of mass (in grams) resulting from the release of heat when $1 mathrm{~mol} mathrm{SO}_{2}$ is formed from the elements.$$mathrm{S}(s)+mathrm{O}_{2}(g) longrightarrow mathrm{SO}_{2}(g) ; Delta H=-297 mathrm{~kJ}$$
Find the change of mass (in grams) resulting from the release of heat when $1 mathrm{~mol} mathrm{SO}_{2}$ is formed from the elements. $$ mathrm{S}(s)+mathrm{O}_{2}(g) longrightarrow mathrm{SO}_{2}(g) ; Delta H=-297 mathrm{~kJ} $$...
5 answers
G(e) 561 77-91 0 1 427416420" Flev) = zke 1-86 ( < T~ #/u p F; (e, 78 7910: 1 0 80492 p; 51C? Khw Avys 15.60 Mw 0, 40 0 MMW Po 256 MW 0z = 342 MwPzI50MW0 (effes 0 448480| + Oaaeip ' + 0 vea !Jp4Findthe eplimal dipakh ed (he Lalcasl iVI' by ileraUve melhad
G(e) 561 77-91 0 1 427416420" Flev) = zke 1-86 ( < T~ #/u p F; (e, 78 7910: 1 0 80492 p; 51C? Khw Avys 15.60 Mw 0, 40 0 MMW Po 256 MW 0z = 342 Mw Pz I50 MW 0 (effes 0 448480| + Oaaeip ' + 0 vea !Jp4 Findthe eplimal dipakh ed (he Lalcasl iVI' by ileraUve melhad...
5 answers
Using the rate law you determined and the data from Trials 1 4 , calculate the rate constant; k, and report your results where indicated. Show your work for Trial and use the correct units.TrialTrial 2Trial 3Trial 4Calculate the mean (average) value for the rate constant of these four trials at room temperature and the average deviation as percent of the mean valueMeanPercent Average Deviation
Using the rate law you determined and the data from Trials 1 4 , calculate the rate constant; k, and report your results where indicated. Show your work for Trial and use the correct units. Trial Trial 2 Trial 3 Trial 4 Calculate the mean (average) value for the rate constant of these four trials at...
5 answers
Breathing pictures? What is photorespiration, what is its cause, and why is it believed to be wasteful?
Breathing pictures? What is photorespiration, what is its cause, and why is it believed to be wasteful?...
5 answers
Uoneljojui aJOw JnoyJim 0 I/a) 0} aiqissodwi SI JIissai JO caiqe1s ajow aq Xw pinom:#Jaiielus 3j3m XJo Aqiulye uoJqDaia 341 pue 'Jabbiq ajaM W Jo Adjeyjua uoneziuoi 341 asoddns'aIqe1s ssa7 02iqe15 aJow 0[ou /[Xw Jo UOIJBULO) Jo Jeay 341 Si Je4m[ou/02XZW Jo Adjeuua a3m101 J41 S1 Je4m
uoneljojui aJOw JnoyJim 0 I/a) 0} aiqissodwi SI JI issai JO caiqe1s ajow aq Xw pinom:#Jaiielus 3j3m XJo Aqiulye uoJqDaia 341 pue 'Jabbiq ajaM W Jo Adjeyjua uoneziuoi 341 asoddns 'aIqe1s ssa7 0 2iqe15 aJow 0 [ou /[ Xw Jo UOIJBULO) Jo Jeay 341 Si Je4m [ou/0 2XZW Jo Adjeuua a3m101 J41 S1 Je4m...
5 answers
In the following reactions, determine the oxidizing agent and the reducing agent: (Omit states-of-matter in your answer _ (a) 4 Fe + 3 02 = 2 Fez03 reducing agentchemPadHelpXaxl-IeGreekoxidizing agent chemPad Xaxl-IeHelpGreek(b) FezO3(s) + 3 co(g) 72 Fe(s) + 3 CO2(g) reducing agentchemPadHelpXolx sI=Greekoxidizing agent chemPadHelpXolx=Greek
In the following reactions, determine the oxidizing agent and the reducing agent: (Omit states-of-matter in your answer _ (a) 4 Fe + 3 02 = 2 Fez03 reducing agent chemPad Help Xaxl-Ie Greek oxidizing agent chemPad Xaxl-Ie Help Greek (b) FezO3(s) + 3 co(g) 72 Fe(s) + 3 CO2(g) reducing agent chemPad H...
5 answers
How Thc long: rte scconds products constant for this would takc first-order reaction concentration of 0.690 $ 8 1 from 0.850 Mto 0.230 M?
How Thc long: rte scconds products constant for this would takc first-order reaction concentration of 0.690 $ 8 1 from 0.850 Mto 0.230 M?...
5 answers
An engineer deposits $10,000 in savings account on the day her child born: She deposits an auditianal 52000 on every birthday aiter that The account has nominal interest rate compounded continuously: How much money will be Ihe account the day alter the child'$ 18th birlhday?Select one: 553,160557,020852,451564,180
An engineer deposits $10,000 in savings account on the day her child born: She deposits an auditianal 52000 on every birthday aiter that The account has nominal interest rate compounded continuously: How much money will be Ihe account the day alter the child'$ 18th birlhday? Select one: 553,160...
5 answers
For what values of b are the given vectors orthogonal? (Enter your answers as comma separated list. ) (-3,b, 2) , (b, b2 , b)
For what values of b are the given vectors orthogonal? (Enter your answers as comma separated list. ) (-3,b, 2) , (b, b2 , b)...
5 answers
Point) Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y 21/3 and yabout the lineVolume
point) Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y 21/3 and y about the line Volume...

-- 0.020563--