Find lim √√3x² + 3y² -1. (x,y) →(3,1) lim √√3x² + 3y² -1 = (x,y) →(3,1) (Type an exact answer.)

Q: 10х? + 11ху + y .2 lim +,9) ->(-1,10) 10х2 — 39ху — 4у2

A: Introduction: If a function f(x,y) of two variables x and y, is continuous at the point (a,b), if…

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A: We will factorise the numerator first

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A: Divide both numerator and denominator by x and use the limit

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Q: (x² – x – 2)(2x +3). Vx² +5-V3x +3 6. lim =... .2 x2

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Q: Find lim (x,y) →(2,0) 2x - 7y #4 √√2x-7y - 2 2x - 7y - 4 √2x-7y -2 2x - 7y-4 lim (x,y) →(2,0) 2x -…

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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: 2 lim y² - 7y + 12 3 y → 4 y - 64 1 48.

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Q: 2 Find lim √x² + 3y² -7. (x,y)→(2,-2) lim (x,y)→(2,-2) 2 √√√x² + 3y² - 7 = (Type an exact answer,…

A: The objective of this question is to find the limit of the function sqrt(x^2 + 3y^2 - 7) as the…

Q: lim (√x³ – 5x² – x) _ x →∞

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Q: 2. Find lim (√x + 2 = √2).

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Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

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Q: What is the value of x² – 9x + 20, lim r→4 x² + 2x

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Q: xª + x³ – 2x +1 Find lim 00 214 — Зх3 + 5x2 + 1'

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Q: 3 lim WrZ_3K -x). x2-3X

A: The value of the limit is, - 3/2 The detailed solution is as follows below:

Q: t2+3t+2 2. lim t--1 t2-t-2

A: To find the limit of the given function

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Q: x2 - 9 lim X-3 x→3 V – 4 x2+7

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Q: 4. lim (9x + 1)² x→-1 In the following exercises (5-10) use direr

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Q: 2x² +1 lim х* + 6х—4 2 x→2 х->2

A: limit = ?

Q: Зх + 5 3 lim V 6х — 8

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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: lim (4t – 2at + 3a) →-1

A: We plug t=-1

Q: - 2x - 6 Find lim 3 X→- 3x° + 3x

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Q: 5x - 1 b) lim Z-+0+ 10z

A: We have to find

Q: 2) lim x→4 4x-x² 2-√√x

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Q: Find lim (v3x2 – 2x + 5 – V3x² – 7x + 11). - - Select one: 5/3 а. 3 5/3 b. С. 5V3 d. 5V3 3.

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Q: poge( a). liun +3x=12X+4 x4X

A: The value of the limit is, (3/2) The detailed solution is as follows below:

Q: 5x limx→-0 8+3x2

A: Given,           limx→-∞5x8+3x2

Q: 3) 3x2-5x2+x lim x4

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: x2 + 6х + 5 lim х— -1 х — Зх -4

A: Given,          limx→-1x2+6x+5x2-3x-4

Q: (b) lim In(5x2 +3) – In(2r² + 1). -

A: Given :

Q: z+3 lim- %3D iz Z+2

A: