exist. (i) (ii) Find the limit if it exists, or show that it does not lim (x,y) →(1,-2) y² + 2xy + 2x |xy| lim (x,y) →(0,0) xy

Q: (2) Use the definition of limit of a function to find lim x³-3x-2 x+2x2 - 3x+2

A: To find the limit of the function x3−3x−2x2−3x+2 as x approaches 2, it can apply the definition of…

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: Show that the limit does not exist: (x - 1)(y-2)² lim (x,y)→(1,2) (x − 1)² + 5(y − 2)4* -

A: Given, lim(x, y)→(1, 2)(x-1)(y-2)2(x-1)2+5(y-2)4

Q: 1: Find the limit 6x°y5 lim (x,y)¬(0,0) x6 +y10

A: See the attachment

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

A:

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

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

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: Find the limit or show that it does not exist t y lim (x,y)→(0,0) x² + y²

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Q: Find the limit: 5x4 - 5y lim (x,y) →(4,4) x2 - у² - уг ||

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Q: x² – y + 1 f (x, y) x² – y? + 1 -

A:

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

A: We have to find the limit.

Q: 3. Let f(r. y) = (a) Find lim f(x,y), if it exists. If it does not exist, explain why. (z.)+(-1,2)…

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Q: Consider the function f(x, y): 5xy 2x2 + y? (a) State the domain of f(x, y). (b) Find the limit 5xy…

A: f(x, y)=5xy2x2+y2A)Domain f(x, y)The function is defined everywhere.Domain: (x, y) ∈ (R×R)

Q: Let f(z)=z2 - 7z+10 the find lim(zk )f(z)=?

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Q: 19. Find the limit lim X48 3-8x 3x²-2

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Q: Evaluate the indicated limit or explain why it does not exists: x²(y-1)² lim (x,y) (0,1) x2 + (y -…

A: A two-variable function is given.