x2-x-6 lim x-2 x2-4 Vx+2-2 lim x-2 x-2 Vk+3-V3 lim k-0 k

Q: 2-x 3. lim X-2 Vx-5

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Q: /1+x-1 lim 1-0 V4 - a - v4- x2

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Q: x² - x-6 lim x-2 x2 +3x+2

A: L'Hospital Rule: If limx→af(x)g(x)=00      Indeterminant forThenlimx→af(x)g(x)=limx→addxf(x)ddxg(x)…

Q: 3. lim- 2x+ 4 3 X→- X-4 4. lim x→2 x2-6x+8

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Q: x²-1 7. lim x→4 V4x 1 1 8. lim 3 x-3 x-3

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Q: 1. lim x2 +1 = 2 ズ→0 (x-2)2 2. lim X2 (x-2)(x+2) 3. lim (5 -)

A: Put the limit in function

Q: x3 - 7x + 6 1) lim X-1 x2 - 3x + 2

A:

Q: Vx-2 11. lim- x→4 4-x 1 12. lim 1 3 13. lim x-→2-x-2 x² –4 x-1 14. lim |2x – x² –1

A: According to bartleby rule I answered first 4 questions

Q: 2 - x lim x-2 Vx + 2 - 2

A: we have to evaluate the following limit . For this we can use rationalisation

Q: x2-4 lim x--2 x2+4x+4

A: In this question, we have to find the limit of a function which is of the form 0/0.

Q: -7; x<-3 { (x + 2)3 – 6; (x- 2)2 – 5; f (x) = -3 < x < 0 %3D x 2 0 1. lim f(x) = X→-3+ 2. lim f(x)…

A: Given: f(x) :  -7  ;  x ≤ -3 (x+2)3 - 6 ;  -3 &lt; x &lt; 0 ( x -2)2 - 5 ;  x ≥ 0

Q: x2-1 lim x-1 Vx-1

A: The given limit is limx→1x2-1x3-1

Q: Lim x->4 (x2-3x-4)/ (x-4)

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Q: x² + x – 6 - f. lim "3 x² – 9 /x + 1 – 2 g. lim х — 3 * 3 x - 8 h. lim * 2 2 x- 2 3x2 + 5x - 2 i.…

A: Given tha

Q: 9. lim -2x-15 (3r-2)-(x+2) 10. lim -5 x-5 x-2

A: The limit of a function (expression ) is a value of that function (expression ) that approaches as…

Q: (2) lim 12 X+6 (3) lim (2x³ – 3x² +x) x3 - 2x2 +3x-5 (4) lim X2 3-x

A: Hello. Since your question has multiple parts, we will solve first three complete questions for you.…

Q: x'- 16 • lim x2 X-2 x'- x- 5x - 2 • lim (x +1) Xー1 M + x - 1 • lim

A: Here, we need to find the limit of the given expressions. (i)            limx→ 2x4-16x-2=limx→…

Q: x²+x-2 1. lim X-o 4x-1

A:

Q: x-4 1) lim x→4 xーxー12 x2-x-12

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

Q: (i)   Lim     x1/3  + 9x1/5          x→0    ____________                  6x 1/2 - 4x 1/4     (ii)…

A: i)  The given limit is in 0/0 form

Q: x-2 6. lim x-2-2-V4x-x²

A: To find:  limx→2- x-22-4x-x2

Q: lim x→−4−  f(x) = (x+5)(x-3)^4                                       ÷…

A: The given limit can be simplified as limx→-4-f(x) = limx→-4-(x+5)(x-3)42(x-3)3(x+4)…

Q: 13. lim X- 6 3 14. lim X-1 x+1 X-4 15. lim x-2

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Q: (а) 5x-3 – 4 (i) Lim x-00 2x-2 + 9 (х — 3)2 (ii) Lim X→∞ X2 2 7- 2x – 3 2х —

A: That's easy. Have a great day!!!

Q: 3x2 (x- 1) .2, (а) lim I00 5x(2x2 +1) 2 - x3 (b) lim 1o x2 - 2x + 5 | x - 2 (c) lim x→-0 x4 –2x³ +1

A: As per Bartleby guidelines rule I am answering only first three questions. Evaluate:…

Q: x² 4x + 5 lim 3x а. x+5 lim b. x+7 x² - 49 x - 7 lim С. x² - 3x + 2 2 - 4

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Q: 4x2+11х-3 (i) lim x→-3 9—х2 (ii) lim 2 -1 *-4 х36 6-х Vx2+9-V2x2+9 (iii) lim х-0 VЗx2+4-V2х2+4

A: We will solve the following

Q: x+4 x-2 5) lim x +7x + 12 6) lim 2 x-5x+ 6

A:

Q: X. lim (3x – x -3 - 2) (2x² +4x+5) K. lim x+1 2x2+2x-4 Z. lim x-1 x-1 a. lim (+3) а. N. lim – (-16)

A: We will find the limits as shown below

Q: x3 - 7x + 6 1) lim x-1 x2-3x+2

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Q: X-2 lim x→2 x²+x-6

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Q: V1-x3 15. lim x-1- V1-x2

A: the given limit is: limx→1-1-x31-x2 we have to evaluate the given limit.

Q: (а) 5x-3 – 4 (i) Lim X00 2x-2 + 9 (х - 3)2 (ii) Lim- X0 x2 7- 2x - 3

A: Here, solving only two subparts of Question number 4 and for the remaining post the question again.…

Q: 8.) lim (-1+ x² – x³ + 3x*) 9.) x3-2x-1 lim x-3 co-X 2x2+3x+1 lim X+ 3x-5x+2 10.)

A:

Q: 1. lim (4x – 7) 2. lim (x3- 2x² + x - 5) X-1 3. lim (x2 - x + 3)(2x – 1) X-2

A: 1. limx→04x-72. limx→1x3-2x2+x-53. limx→-2x2-x+32x-1 Note:     Multiple sub part are given, we are…

Q: x²- 1 lim x→1 x2+3x-4

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Q: 1. lim 2x+1 2. lim x→3 ズ-3 x-1 ミ- キ* さ

A:

Q:

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Q: x*-2x²-x C- lim ズ→2 ,x + 2 xネ-4 Vx-+1- va²+1 d- lim- Xキa ズーa

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Q: (x-1)(x2-9) lim (x-3) x + 3x + 2 lim. 1-x V+8 -1 lim x+1

A: NOTE: Hi! Thank you for your question. As per the honor code, we are allowed to answer three…

Q: x2+4 lim x-1-x3-1 x+4 lim X-4+ x-4

A:

Q: X- 2 lim X- x² + 2x + 1

A: Given,          limx→-∞x-2x2+2x+1

Q: 5x-3 - 4 O Lim X-00 2x-2 +9 (x- 3)2 O Lim X00 X2 -- 2x - 3

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: 1. lim g(x) = x--2- 2. lim g(x) = x→-2+ %3D 3. lim g(x) = x→-2 4. g(-2) =

A:

Q: (а) 5x-3 – 4 (i) Lim- x--00 2x-2 +9 (х— 3)2 (iї) Lim X-0 x2 7- 2x – 3 2х —

A: (i) Obtain the limit as follows.…

Q: V4-4x+x' 18. lim x-2 19. lim 4+1-V4-t x-1 20. lim Vx+3-2 7+31 21. lim (t+2)-(1-2)

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Q: (x-2)(x+4) 3. lim 2х-1 X-

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Q: X-5 lim X-5 Vx+4-3 x2-1 lim X-1 x-1

A: Let L is the value of given Limit.

Q: lim(-x² + x-2) x-2 x+5x+4 lim x+2 2 +7x +6 lim I+3

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Q: x³ – - 3x 2x² 5. lim X--5 x² - x

A: