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 (x.y) (4,1) 2x+ y-9 6x2 lim = 3 (x.y) - (0,0) 2x2 – xy+ 1ly (x,y) (0,0) f(x) ={ x8 + x?y² is continuous at (0,0). (х,у) 3 (0,0) 1/6

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Q: # 3) lim (2x - 4x2 - 5x+6) X→-3

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Q: 16. lim x+3-3

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Q: 22. lim √x + 6 x 3 x + 2

A: To find :-

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Q: Find the limits

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Q: Vx² + 12 – 4 33. lim x-2 x-2

A: Explanation of the answer is as follows

Q: iv. f(0) = Preview v. lim f(x) = x→7 Preview vi. lim f(x) x→7+ Preview

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Q: 22. lim √x + 6 x 3 x + 2

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Q: 1 (a²- a→1 (a²-4a+3)3 (а?+4а-5)2 4. Evaluate: lim

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Q: lim a. b. lim t-2 V2 + t – 2 t – 2 sin 7r с. lim 50 sin 3r 8 d. lim 16 16. V9r² + 4 lim 2.r + 1 е.

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Q: 1 7. lim 3x8 (x5+ (2х-3)3 х-+00

A: To evaluate the given limit. limx→+∞1x5+2x-333-3x8

Q: A) Vx2 +8-3 lim x-1 x+1

A: By using l'Hospital's rule we solve the given problem as follows :

Q: lim. Vx-1 х2-4) п-20+ \x2-4

A: To find the Value of

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A:

Q: xvx+1(1-/2x+3) 4. Compute lim 7-6x+4x2

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Q: Vx-3 4x-x? 2- Vx V+ 8-3 x + 1 29. lim 9 x- 9 30. lim X- 1 i Vx + 3 - 2 V + 12-4 31. lim 32. lim x +…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 8. lim x 0 √x²+4-2 x2

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Q: 25) Find: lim,(x²+ax - √x² + bx).

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Q: 29. lim (25t2 + 2 – 5t)

A: Given:          limt→∞25t2+2-5t Rationalize the expression…

Q: 19. Evaluate lim (x³ + 2x2 – 3x – 4). x-1

A: Evaluate limx→-1(x3+2x2-3x-4)

Q: Зх + 5 3 lim V 6х — 8

A:

Q: x2 + 7x - 44 lim x-4 x u) -6x+8 x2 -4 lim xl x v) - 3x+ 2 x - 5x+ 4 lim x-1 w) x- x² -4 lim x-2 x-2…

A: By bartleby rules, only first three subparts have been answered To evaluate limx→4x2+7x-44x2-6x+8…

Q: If limz - - 19+561 (z² + 38z) = x + iy, what is the value of x - y ?

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Q: Which of the following statements is true? 7x2 7 A lim 3 (ку) - (0,0) Зx2 — 5ху+ 2у Зx+у-4 lim 8…

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Q: f(x) (28z +39)(2r 17)(5z 18)(7z 24) (24 7r)(5z 18)(28z +39)(39r 17) E) da como resultado:

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Q: 2-x x+²√√x+2-√√3x-2 c) lim-

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Q: 80 10x +0.5x4 8118 50+20x6x3 b) lim

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Q: 3x+x Q2) Evaluate limy+o 2-8

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A: We have to find

Q: ソ→0

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Q: 4. Find lim (x² – 9)/(x² – 8x + 15)

A: To find the limit of given function.

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.