5

~/1 points21.6 If an then 1.6" lim 2+land thus fora the Ratio Testtells us the series divergestells us the series converges, does not tell us whether series co...

Question

~/1 points21.6 If an then 1.6" lim 2+land thus fora the Ratio Testtells us the series divergestells us the series converges, does not tell us whether series converges or diverges_Submit Answer

~/1 points 21.6 If an then 1.6" lim 2+l and thus for a the Ratio Test tells us the series diverges tells us the series converges, does not tell us whether series converges or diverges_ Submit Answer



Answers

Use the ratio test for absolute convergence (Theorem 9.6 .5 ) to determine whether the series converges or diverges. If the test is inconclusive, say so. $$ \sum_{k=1}^{\infty}(-1)^{k+1} \frac{k^{k}}{k !} $$

Squeeze, Unequal to 1 to Infinity off one upon all to the fore end. Time factorial and where or is greater than to see you. So here we have to use the recitals to decide whether the series converges or diverges. Let he's also an equal to 3s, an equal to one to infinity of one upon all to the power and time factorial. And so here we know that in ratio test three's a so and so for the sequence of racial Morella's eight sub and plus one upon murillo's is of an has a limit. So here you can see that limit and approaches infinity. Oh more ills S. o. n plus one upon s up. And now we have to put here Morales equal to L. So here we know that E. So and plus one equal to she's An equal to 1 to infinity of one upon or to the power And plus one time Factorial and Plus one. So now we put here and we get al equal to limit and approaches infinity of one upon are plus one time factorial and plus one time R. To the power and time factorial end. So here we know that factorial and plus one equal to and plus one time factorial. And so now we put that value here and we get al equal to limit and approaches infinity of one upon Or to the power and plus one time and plus one time factorial and jane all to the power and time factorial end. So here we will cancel out or to the power end and factory end. So here we get alec will too limit and approaches infinity of one upon all time and plus one. So here we know that or greater than ceo. So here we have to divide numerator and denominator by N. So we have to perform direct substitution and approaches infinity. So here we get al equal to see you. And here we can see to the ratio test if L less than 2 1, then squeeze a soup and converges. So here we know that squeeze An equal to 1 to infinity of one upon all to the power end time, factorial and converges so it is. Or find an answer.

You need to use the limit comparison tests to determine if the series converges or diverges. I said this equal to Hazleton, compare that to you case squared. So call this piece. Have been here going to take the limit as purchase affinity base up in a religious event So that Eagles limit as n approaches infinity of one of our case squared plus one guided by one of our case squared simplified that. We have K squared over K squared plus one. The limit as N approaches infinity of that, so equals to one side or the other. Both converges or diverges. Because we know one over a case squared by P series. He is equal to two which is greater than one that's convergent. Therefore both are confession. So our answer is that the summation of one of her case square plus one can purchase.

Comparison tests to determine if this versions of coverages repair this series too in order to to the Cape. You know that this courageous by the geometric serious since by the geometric series, the episode value of our would be less than once. It's it's equal to one half so that we take That as our B seven. How we're going to take the limit has and approaches infinity Whatever to to the end plus one over Number 2 to the end. So that gives us the limit has an approaches infinity to see the end over 23 N plus one that equals one. Therefore, since one of the series converges, both converged by the limit comparison tests.

We have to find whether the sea ease convergent on mark using the racial best seizes minus one reads to the park gate. Respond bridge to the Parky Over. If I told you, let's find absolute by European plus one So that will be released to the poor and plus one over and plus one and the absolute value off and will be to list for the poor and over. So this ratio would be And this one a people toe booties to the border and this one over and over here and there. This is just part and plus one this divided by two days to the border. I know. We're in fact this this can be read it announced rules to the poor and times two and dispose in New Meritor and former and less contact with bitterness and plus one times and football here. And do this to the power engine means actors. This gets cancer this good cancer. So what? I left foot the war in this one. We have a limit over here and tending towards infinity. So when we put limits endings to infinity over here, we're getting zero. So since this is less than one, we can say that the cities in the world is that


Similar Solved Questions

5 answers
Synthesize the compound below Irom benzene_CH,H;c-CH; NHz2 . Propose mechanism for the reaction below.H3O'H;cH;C"
Synthesize the compound below Irom benzene_ CH, H;c- CH; NHz 2 . Propose mechanism for the reaction below. H3O' H;c H;C"...
1 answers
The Bessel equation of order zero is given by2/" +Iy' +rly = 0.Determine all singular points of the given ODE and classify them &s rogular irregular.singular point (s):We look for solution of the formv(z)Gn2"0IFind the indical equation and determine its root(s). Show your work
The Bessel equation of order zero is given by 2/" +Iy' +rly = 0. Determine all singular points of the given ODE and classify them &s rogular irregular. singular point (s): We look for solution of the form v(z) Gn2" 0I Find the indical equation and determine its root(s). Show your ...
5 answers
Draw the major organic productis) of the following reactionCHaHaCNaOHCHaYou do not have to consider stereochemistry If no feaction occurs craw the organic starting material When Svl & El pathwvays compete show both the substitution and the elimination products. Separate multiple products using the sign from the drop- down menu Do not include counter-ions; e 2- Na I,inyour answerChemDoodle
Draw the major organic productis) of the following reaction CHa HaC NaOH CHa You do not have to consider stereochemistry If no feaction occurs craw the organic starting material When Svl & El pathwvays compete show both the substitution and the elimination products. Separate multiple products u...
5 answers
[2r3 @ 3P(mammal or threatened forelgn specles)
[2r3 @ 3 P(mammal or threatened forelgn specles)...
5 answers
Top 12. to W reach from [ the monument 3 ground? the V Urateedl At used and e feet, counawoone the approximate W the 3 the g %3 nearest tenth 6 that an M
top 12. to W reach from [ the monument 3 ground? the V Urateedl At used and e feet, counawoone the approximate W the 3 the g %3 nearest tenth 6 that an M...
5 answers
40% of the entire U.S: population has an allergy- random sample of 1200 adults resulted in 36% reporting an allergy Use this information to answer questions 3 & 4. Identify the sample from the situation described above:Identify the value of the parameter reported in the situation described above
40% of the entire U.S: population has an allergy- random sample of 1200 adults resulted in 36% reporting an allergy Use this information to answer questions 3 & 4. Identify the sample from the situation described above: Identify the value of the parameter reported in the situation described abo...
5 answers
Consolidation of neutral memories as compared with emotional memories happensa. morc quicklyb. more slowlycat the same speedd.at the same time
Consolidation of neutral memories as compared with emotional memories happens a. morc quickly b. more slowly cat the same speed d.at the same time...
1 answers
Suppose you inflate your car tires to 35 psi on a $20^{\circ} \mathrm{C}$ day. Later, the temperature drops to $0^{\circ} \mathrm{C} .$ What is the pressure in your tires now?
Suppose you inflate your car tires to 35 psi on a $20^{\circ} \mathrm{C}$ day. Later, the temperature drops to $0^{\circ} \mathrm{C} .$ What is the pressure in your tires now?...
1 answers
Distance to a Rocket Tom and Fred are 3.5 miles apart watching a rocket being launched from Vandenberg Air Force Base. Tom estimates the bearing of the rocket from his position to be $\mathrm{S} 75^{\circ} \mathrm{W},$ while Fred estimates that the bearing of the rocket from his position is $\mathrm{N} 65^{\circ} \mathrm{W}$. If Fred is due south of Tom, how far is each of them from the rocket?
Distance to a Rocket Tom and Fred are 3.5 miles apart watching a rocket being launched from Vandenberg Air Force Base. Tom estimates the bearing of the rocket from his position to be $\mathrm{S} 75^{\circ} \mathrm{W},$ while Fred estimates that the bearing of the rocket from his position is $\mathrm...
1 answers
Find the indicated values. Find $T$ (in $\mathrm{K}$ ) if $\log T=8,$ where $T$ is the temperature sufficient for nuclear fission.
Find the indicated values. Find $T$ (in $\mathrm{K}$ ) if $\log T=8,$ where $T$ is the temperature sufficient for nuclear fission....
5 answers
Q1. A 10 kg hollow sphere with a 5.0 m radius is spinning on an aX1s which runs through the center of the sphere with an angular speed of 2500 revolutions per minute (rpm). What is the value of the rotational kinetic energy of this sphere?02. What would be the magnitude of the rotational kinetic energy if the sphere were solid, but still had the same radius, mass and angular speed?
Q1. A 10 kg hollow sphere with a 5.0 m radius is spinning on an aX1s which runs through the center of the sphere with an angular speed of 2500 revolutions per minute (rpm). What is the value of the rotational kinetic energy of this sphere? 02. What would be the magnitude of the rotational kinetic en...
5 answers
What is the difference between an exothermic and an endothermic reaction? (Chapter 15$)$
What is the difference between an exothermic and an endothermic reaction? (Chapter 15$)$...
5 answers
During the ovarian cycle, the corpus luteum which: secretes estrogen and progesterone;a) Cause the disintegration of the endometrium; b) Promote the release of FSH and LA;Inhibit GnRH production from the hypothalamus: Promote GnRH production from the hypothalamus:
During the ovarian cycle, the corpus luteum which: secretes estrogen and progesterone; a) Cause the disintegration of the endometrium; b) Promote the release of FSH and LA; Inhibit GnRH production from the hypothalamus: Promote GnRH production from the hypothalamus:...
5 answers
UndefinedIf the range of a projectile is given by the equation R = v 0 2 ∗ sin 2 Θ gAt what angle will the range be maximum?
undefined If the range of a projectile is given by the equation R = v 0 2 ∗ sin 2 Θ g At what angle will the range be maximum?...
4 answers
The amount of chemical energy stored in food is measured in: a- Kilograms b- Grams C- Calories d- Pounds
The amount of chemical energy stored in food is measured in: a- Kilograms b- Grams C- Calories d- Pounds...
5 answers
The standard reference conditions for gases has the valuestemperature: 00PC; pressure: 000 standard atmospheretemperature: 0.00 K; pressure: 000 standard atmospheretemperature= 273.15 KF pressure: 000 Pascaltemperature: 298.15 K; pressure: .000 Pascatemperature: 298.15 K; pressure: 000 standard atmosphere
The standard reference conditions for gases has the values temperature: 00PC; pressure: 000 standard atmosphere temperature: 0.00 K; pressure: 000 standard atmosphere temperature= 273.15 KF pressure: 000 Pascal temperature: 298.15 K; pressure: .000 Pasca temperature: 298.15 K; pressure: 000 standard...

-- 0.025094--