Determine which of the given limits does not exist 2y² 2x² - y² A. lim (x.v)-(0,0) x²y (x.v)-(0,0) x² + y² C. lim B. D. 3x² lim (x,y) → (0,0) x² + y² x³y+x²y³ lim (x,y) → (0,0) x² + y²

Q: x, x 2. y=h(x) 4 3 y-2 Show that a. lim h(x) + 4 b. lim h(x) + 3 c. lim h(x) + 2 X-2

A: Given, h(x)=x3,  x<23,  x=2  2,   x>2 now show the limit on x→2…

Q: Let S = {(2,0) = R² : 2 = R}. If lim f(x, y) = 0 then (2.9)-(0,0) f(x, y) = 0. lim (z.g)-(0,0)(8…

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

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Q: f(r) where f(r) and g(r) are polynomials. g(r)' 2. Describe a strategy for solving limits of the…

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Q: Show that 3 x² y ³ lim (x,y) →→(0,0) 2x4+y6 does not exist.

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Q: If lim f(x, y) = L along the x-axis, (x,y)→(0,0) lim f(x, y) = L along the (x,y)→(0,0) and if…

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Q: ху (x, y)→(0, 0) x² + y² 16. Determine whether lim exists.

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

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Q: 24 – 4y? (z,v) >(0,0) x² + 2y² Does the limit lim exist? Explain your answer.

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Q: Show that xy4 lim (x,y) →(0,0) x² + y8 does not exist.

A: Given :                     lim(x,y)→(0,0) xy4x2+y8 We know that if the limit exists, all paths…

Q: lim g (y) where, g (y) = = y² +5 3-3y lim 9 (y) y² +5 ify < -2 -9 lim g(y) 3-3y if y≥-2 y-2 ify <-2…

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Q: lim g (y) where, g (y) = = Jy²+5 3-3y lim g(y) y² +5 if y -2 ify <-2 if y≥-2 g(y) --1 = -1.9 √y²+5…

A: We can draw the graph of the function and interpret the limit  of the function.

Q: lim (x.y) (0,0) r + yt

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Q: F (x, y) = 2xy(x²-y²) x2+y2 1) Find lim f (x, y) when (x, y) (0,0)

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Q: If f is a function then lim f(x, y) = f(2,5). (x,y)→(2,5) %3D

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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…

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Q: [f(x,y)] 4- lim (x,y)→(a,b) Lg(x,y)]

A: Please see the answer in step 2

Q: Which of the following statements is true? ху- 4y 1 A lim 2 (x.y) (4,0) x2-8x+y² + 16 V2x+y-3 lim…

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Q: lim g (y) where, g (y) = Jy²+5 3-3y lim g (y) y² +5 ify < -2 -9 lim g (y) 3-3y if y2-2 ify <-2 if…

A: Given :limx→-2gy where gy=y2+5if y &lt;-23-3yif y≥-2

Q: Let h(x)

A: hx=x2,      x&lt;23,       x=22,       x&gt;2 Now, The left hand limit at x=2 is,…

Q: a. Consider f(x) i. lim f(x) = x →0¯ ii. lim f(x) = +0+* = iii. lim f(x) = x→0 iv. f(0) = = v. lim…

A: In this question, we will find the limits.

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: x²+x y-2y lim (x,y)→(4,16) x- Jy

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Q: lim g(y) where, g (y) = [y²+5 13-3y lim g(y) y² +5 ify < -2 y+ 2 lim g(y) 3-3y if y≥-2 ify <-2 if…

A: First we have: gy=y2+5      if y&lt;-23-3y     if y≥-2 Now, limy→-2 gy=limy→-2y2+5=9          if…

Q: For the function f(x,y) = (a) Find x³y 3x + y² lim f(x,y) along any straight line y = mx.…

A: Given function .

Q: Show that 2 x² - y² - 1 lim (x,y) →(1,0) 1 − x + (2y)² - does not exist.

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Q: (x-y)2 Show that lim does not exist. (x,y)→(0,0) x²+y2

A: We have to find the limit.

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…