x² – y? - Show that lim (x, y)→(0, 0) x² + y? does not exist. .2

Q: (х-а) 2. lim Vx-Va X→a

A:

Q: 3x2 + 1?y? + 3y? + 3z2 3 Show that lim (1,y,2)+(0,0,0) 1² + y? + z²

A: The given rational function is 3x2+x2y2+3y2+3z2x2+y2+z2. Evaluate the limit along the line y=0,z=0.…

Q: lim (2,1)→(0,0) xª + 4y²

A: The given limit is,

Q: + xy² + y³ x2 + 7y² 2x3 b) lim (x,y)→(0,0)

A:

Q: lim (4x – 3y)= -11 Prove that (r.,v(-2,1)"

A:

Q: 1. Use the definition to show that x² - y² lim (x,y)→(0,0) x² - y² = 0.

A:

Q: Use (8) definition to show that lim 2-0 Z 0.

A:

Q: Vx-2 lim х-2+ Vx2-4

A:

Q: Show that x²y + x² lim (x,y) →(0,-1) 24+ (y + 1)² does not exist.

A:

Q: xy Let f(x, y) : and let L = lim(2,y)>(0,0) f(x, y). Which of the 8x2 + 9y2 following statements is…

A:

Q: x4-16y+ lim (x,y)¬(2,1) x²–4y2

A:

Q: ,3 Find lim (x,y)→(0,0) x² + y² °

A:

Q: flx) = Jx-7 Lim f(3+h)-f(3) ||

A:

Q: Evaluate lim (x,y) →(0,0) x³ +35x² + 7y²2 5x² + y² 11

A:

Q: 46. lim h→0 (x + h)³ - x³ h bluow

A:

Q: Find lim (x,y)-(0,0) y7x⁹8x97y8 + x105 xy7 +x8

A:

Q: х2 + 2у lim (х.у)-(0.0) 1 — е*-у!

A: Explained below

Q: Find Lim-0.0 (r² + y²) In(x² +y²) '(xy)(0,0)

A:

Q: 16-x2| (a) lim (2 + x) 16-x²| ズ→4+ 4-x

A: Given query is to find the limit of the expression.

Q: H.w iF FX)= *+b x<I and Lim F(X) 8,F(-1)=2 Find asb and when X#0

A: Solution:

Q: y=f() 3 6. Use the graph of f(x) above to find the value of the folllowing: lim f(x) =

A: At any point P limit exist if , left hand limit and right hand limit and value of function at P are…

Q: #1 Let f: IR→IR and Suppose What can you say you say about the value (x,y) = (1,3) f(1,3)? that lim…

A:

Q: 12 + 31 + 2 28. lim P-1 ² – t – 2

A:

Q: lim 2x 3e +5e 2x e -e -X -X = 5. =

A: limit forms are:-    0/0 , ∞/∞

Q: Part. j. True or False: lim x →∞ 66 2 (x-3)² 3.

A: Given that     limx--&gt;∞ (66/(x-3)2) = 3 Here we have to check whether this statement is true or…

Q: lim (x, y) → (4, -2) x2y + xy2 x? – y2

A: The given expression of the limit is: lim(x,y)→(4,-2)x2y+xy2x2-y2

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.