3xy ƒ(x,y) = 4x²+2y² a b) Find the domain of f. Show that the limit does not exist. lim f(x,y) (x,y) →(0,0)

Q: does not exist

A: Given that:  The limit   lim(x,y)→(0, 0 ) x2 + yx2 + y2   .

Q: lim (x,y)→(4,3) √x - √y+1 x - y - 1

A:

Q: I Let f: IR→IR and suppose that lim fcx, y) = 5. (x,y) (1,3) that can you say about the value…

A:

Q: 2. Use the paths x = y and x = 0 to verify the limit. lim (x.y)-(0,0) x2+y²,

A:

Q: #4 Find the limit or show lim y²-x² that it DNE (Gy)-> (11) y x y ³

A: Answer is 2Explanation:

Q: lim f(x, y) = 6, then f(1.9, 2.9) = 6- %3D (x, y) + (2, 3) If f(4, 5) = 3 Vf(4, 5) = (-3, 2) then…

A:

Q: Find : lim x*-4y2 if it exists. а. (x,y)→(0,0) x²+2y2 x²y+xy² b. lim if it exists. (х,у)-(2,-1)…

A: Given To check it is exist or not  If it exists then find the value

Q: Find the limits. F(x) = 2x? - 3x + 4, g(x) = Vx+ 2 (a) lim f(x) x-2 (b) 9(x) lim g(f(x)) = X-2

A: We have to find the limit

Q: Find the limits

A: Find the limit limx→-πx+4cosx+π

Q: Determine the limits xy-y-7x+7 lim (x,y)→(1,4) x-1 lim x² (x,y) (0.0) x² + y²

A: 1. (x,y)→(1,4)lim​x−1xy−y−7x+7​We will factor the numerator:• Group the terms: xy - y - 7x + 7 = y(x…

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: Lnx 8) lim 3 X X→∞

A: We will find the limit as following.