5

Find the limit:Iim(,Y)= (1,2) V*+YDiscuss the continuity of the function. continuous for x + Y 2 0 continuous everywhere except (0, 0) continuous everywherecontinuo...

Question

Find the limit:Iim(,Y)= (1,2) V*+YDiscuss the continuity of the function. continuous for x + Y 2 0 continuous everywhere except (0, 0) continuous everywherecontinuous for X Fy > 0continuous for Xly - 0

Find the limit: Iim (,Y)= (1,2) V*+Y Discuss the continuity of the function. continuous for x + Y 2 0 continuous everywhere except (0, 0) continuous everywhere continuous for X Fy > 0 continuous for Xly - 0



Answers

Find the limit and discuss the continuity of the function. $$\lim _{(x, y) \rightarrow(-1,2)} \frac{x+y}{x-y}$$

In this problem of limit and continuity, we have to find the limit and discuss the continuity of the function given you. And we have given that limit ordered pair X and Y approaching tours. The other pair went into and the sunshine into the power X. Y. Now we can say that the function of X. Y is equal to eat to the power X. Y. Now we have to find the value of f. of one and 2. Now put the value X equals to one. So this will be to the power one and multiplied with Y. So this is we have to replace why with two. So we are replacing here when was already the city equals to the power to that it's E square. So from here we say that the value of this limited equals to the square. And now we have to discuss the continued since into the power X. Y. And the domain of the function G. To the power X. Y. Age the set of real numbers. And this is defined over a set of real numbers. So we can say that this function is continuous. So here this funds and age continuous. So cancer is continuous.

In this problem of limit and continue to. We have to find the limit after this because the continuity of the funds and you're in here and we have given that limit the order pair X and Y approaches to The order pair zero and 2 and difference and is X divided with Hawaii. So from here we can say that the function of X and Y is equal to X divided with. Why? Now we have to find the value of F. Zero and two. So this is F. Of zero and two. Now putting the value X equals to zero and Y is equal to. So this is equal to zero. From here. We say that the value of this limited equals to zero. And now we have to discuss the continuing so we have defense and F of X. Y equals two. X elevated white. And now this function would we discontinuous when the denominator is equals to zero? That means when Y is equal to zero, this function would be not continuous. So we can see that the function is continuous. Except for. We can say why is not equal to zero? So this is continuous. Four. Why is not equal to zero? If why is not equal to zero then the function is continuous.

In this problem of limit and continuity we have to discuss the continuity of the function and evaluate the limit of say F of X Y. When excellent approaches to the ordered pairs, 00. And we have given their defensive say F of X Y is equal to one minus course X squared plus Y is squared divided with x squared plus y square. That means if we have to find the value of limits limit, XY approaches to 00 And difference in is 1 -1 this is coarse X squared plus Y square divided with X squared plus y squared. Now if we have to evaluate the limit, that means we have to find the value of f of 00. So we have to evaluate F00. Now putting the value F of 00 that means zero and why it also zero. So this is one minus 1-. This is because x squared plus y squared. That means this is zero square, that is zero. And why that is again zero square is against zero. And this value would be zero plus zero. So this is zero plus zero. And now when we solve it this is one minus cost, zero is one end. Denominator is zero. And if the function has denominated as zero, that means we say that limit does not exist. So we say that limit does not exist. So here we say that limit does not exist. And now we have to tell about the continue the so the funds and each one minus course X squared plus y squared. They were with here X squared plus Y squared. So this function would be discontinuous when the denominator is equal to zero, that means X squared plus Y squared is equal to zero. This can be possible when X zero and Y is also zero. That means this would be discontinuous at the 00.0. And here we have find that at this point limit does not exist. So we say that here from stone age is continuous four. So he ordered where X and Y Not equals to order parents 0, 0. And also the limit does not exist. So we say that limit does not exist exist at zero. So this is the answer.

Players are really going to start proper number three here, live it X comma by trains to my Nesler call Mark toe, which is given by ex like you divided by X plus my video vehicles to my effort into True Cube turned my wrestler plus two with physical too. Why not said by far part of my escape?


Similar Solved Questions

5 answers
7.1.7. Suppose that f is uniformly continuous on R Tf Yn 5 0 as n 77 OO and fn(x) := f(x + Yn_ for x € R, prove that fn converges uniformly on R:
7.1.7. Suppose that f is uniformly continuous on R Tf Yn 5 0 as n 77 OO and fn(x) := f(x + Yn_ for x € R, prove that fn converges uniformly on R:...
5 answers
WWnatIUPAC namecxang compounorSelect Gr2-4-chlcic-3, 5 dimetnylhexue cupox4-chloro-?-ethuheronoacid3-chloro4-dimethylnexancic ecid A-chloro Isopropyl-3-me-hylbutanoic acid4-chloro '5-dimethylnexancic ecid
WWnat IUPAC name cxang compounor Select Gr2- 4-chlcic-3, 5 dimetnylhexue cupox 4-chloro-?-ethuherono acid 3-chloro 4-dimethylnexancic ecid A-chloro Isopropyl-3-me-hylbutanoic acid 4-chloro '5-dimethylnexancic ecid...
3 answers
ANOVA Source of Variation Between Groups Within GroupsMS539.86512.913.95Total707.265
ANOVA Source of Variation Between Groups Within Groups MS 539.865 12.9 13.95 Total 707.265...
5 answers
NHHs ~NKmines more Su +an actiutic amines hd
NH Hs ~N Kmines more Su +an actiutic amines hd...
5 answers
Iaterpret tk values In the cell carresponding l0 LOCATION = | & ATT 0. ( pcinis)6) Sperify wbut hypothesis "Ulg icsicd {2 Puintst"hul &ccnelugc Icgaxding=palhet? (2 Nunim4i Eiplaln youe finllet #acnanaEnelih poute)
Iaterpret tk values In the cell carresponding l0 LOCATION = | & ATT 0. ( pcinis) 6) Sperify wbut hypothesis "Ulg icsicd {2 Puintst "hul & ccnelugc Icgaxding= palhet? (2 Nunim 4i Eiplaln youe finllet #acnana Enelih poute)...
5 answers
Ifan acid, HA, is 18.1% dissociated in a 1.0 M solution, what is the Ka for this acid?2.2 * 10-[3.3 * 10-2 1.8 x10-12.5 * [0'Nonc of these arc corrcct:
Ifan acid, HA, is 18.1% dissociated in a 1.0 M solution, what is the Ka for this acid? 2.2 * 10-[ 3.3 * 10-2 1.8 x10-1 2.5 * [0' Nonc of these arc corrcct:...
5 answers
Theorem 5.18 (Triangle Inequality). If A, B, and € are noncollinear points, then AC AB + BC
Theorem 5.18 (Triangle Inequality). If A, B, and € are noncollinear points, then AC AB + BC...
5 answers
Suppose Xi,Xz, are independent s.1.V.'s such that EXn 0 and supn EXA O0 . Show that n Sn 70 a.8. Note that the Xn need not be identically distributed.
Suppose Xi,Xz, are independent s.1.V.'s such that EXn 0 and supn EXA O0 . Show that n Sn 70 a.8. Note that the Xn need not be identically distributed....
5 answers
Express the plane waves of Eqs. (19) and (20) in the complex representation. In this form, show that the superposition of the waves is the standing wave given by Eq. (22).
Express the plane waves of Eqs. (19) and (20) in the complex representation. In this form, show that the superposition of the waves is the standing wave given by Eq. (22)....
5 answers
Frctlonlese IncilneFoart The block shown flgure below lies slidcs down the Ignore frictionsmaotn plane tilted at un angleDetermnine the acce leration of the block a5 20.19 the horizontaSubmi AnsturIncerect Tncs 3/10 Prevlous TriesPort the block starts from rest *up the plane from its busc , Hnat(he block'5 speed whcn reaches the bottomInclinc?Subrult A Dswut Tries 0/10313 IJy 2
Frctlonlese Incilne Foart The block shown flgure below lies slidcs down the Ignore friction smaotn plane tilted at un angle Determnine the acce leration of the block a5 20.19 the horizonta Submi Anstur Incerect Tncs 3/10 Prevlous Tries Port the block starts from rest * up the plane from its busc , ...
5 answers
U 035 Q5 Q4VX40 QUsing the ambient current method in the electric circuit in the figure, 20 Find the current flowing through the ohm resistor
U 03 5 Q 5 Q 4V X40 Q Using the ambient current method in the electric circuit in the figure, 20 Find the current flowing through the ohm resistor...
5 answers
MnBkydo Deat hm clatrunnd Enlen huncrnd bicynian nru buil ehanan dotan avornu encenda Henahuny alctelnrtehud Diuin %y C{i-0z4 Lh +Calr Eulld Teanien 0n MvoNou [li botch= ahcn tnoud tlld DueaclaleCo)rm
MnBkydo Deat hm clatrunnd Enlen huncrnd bicynian nru buil ehanan dotan avornu encenda Henahuny alctelnrtehud Diuin %y C{i-0z4 Lh +Calr Eulld Teanien 0n MvoNou [li botch= ahcn tnoud tlld Dueaclale Co)rm...
4 answers
6_ What R andlor $ configuration notation would be used for this structure? 2R,3R b. 2S,3R 2R,3S H;C d. 25,3SOH!
6_ What R andlor $ configuration notation would be used for this structure? 2R,3R b. 2S,3R 2R,3S H;C d. 25,3S OH !...
5 answers
(2 points) Write the following functions in terms of the unit step function Uc and then compute their Laplace transform:0if 0 < t < 4 if 4 <t < 6 , ~3 if t 2 6t2 if 0 < t < 1 if t 2 1a)f(t)6) (Extra credit) 9(t)
(2 points) Write the following functions in terms of the unit step function Uc and then compute their Laplace transform: 0 if 0 < t < 4 if 4 <t < 6 , ~3 if t 2 6 t2 if 0 < t < 1 if t 2 1 a)f(t) 6) (Extra credit) 9(t)...
1 answers
The third approximation of the eigenvector A=l with x(0) -[4] obtained by lhe Power method:6{ -1-1 3 65
The third approximation of the eigenvector A=l with x(0) -[4] obtained by lhe Power method : 6 { -1 -1 3 6 5...
5 answers
Draw the curve in the plane and find its longitude over the given interval:a) r(t) = (t + 1)i + t2j; [0,6]Draw the curve in space ad find its longitude over the given interval:a) r(t) 4ti cos(t) j + sen(t)k; [o, 31
Draw the curve in the plane and find its longitude over the given interval: a) r(t) = (t + 1)i + t2j; [0,6] Draw the curve in space ad find its longitude over the given interval: a) r(t) 4ti cos(t) j + sen(t)k; [o, 31...

-- 0.021816--