e- lim x-3 x2-9 V3x-3 ,x + 3

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A:

Q: lim (1-e X-

A: Limiting value of function is the value achieved by function when variable tends to approach certain…

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A: Limit of a function at a point is the value the function tends to as we approach that point. Limit…

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A: To find: The limit of a given problem

Q: Find the limit.

A:

Q: lim x approaches 1/2 .............. 4x(3x + 4)^2

A: Consider f(x)=4x3x+42=4x9x2+24x+16=36x3+96x2+64 As f(x) is a polynomial, it's continuous on ℝ,…

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A:

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Q: 4ー Lim X メ→2 x-4

A: Our Aim is to evaluate the limit in the expression given below:-limx→2 x3-8x2-4-(i)

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A:

Q: Lim             x^4 - 6x^2 - 8x-3/x^4 +2x^3 -2x-1                                              X…

A:

Q: lim x approaches -3  x + 3 /[x2 + 4x + 3]

A: Given: limx→-3x+3x2+4x+3 Apply the limits. limx→-3x+3x2+4x+3=-3+3-32+4(-3)+3=09-12+3=00 As, it…

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Q: Lim メー→& 5X 2X+XSin3 X -2X++

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Q: 5. lim X-0 e2x-1

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Q: lim X-4 (x²-3x-4)² X-4

A: We need to evaluate the following limit limx→4x2-3x-42x-4

Q: 3 - Væ + 5 lim x – 4 - ||

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Q: lim f(x) = %3D x-8-

A: We can clearly see from the graph that, f(x) is discontinous at  x = -8  But, if we move slightly…

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

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

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: lim X+ X+)X +3 2x-X-1

A: Given: The function is  f(x)=x3+x2+x+32x3-x-1   To determine: limx→1x3+x2+x+32x3-x-1

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: x +3 lim x-3 x2 +x - 6

A:

Q: 1. lim (3x + 2) X--3 2. lim(1-x2) -2x2+ 4) X-1 3. lim(3x

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Q: lim x-Vx2 + x 00++x

A: Here we have to find the value of     limx-->+∞(x-√(x2+x))

Q: 2 lim (x + 1) - (х* + ) x → 0

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Q: x-2 lim Jx-2

A: Find the limit limx→2x2-2x-2.

Q: lim (lnx/x1/2 - 1/x)  ? x-->infinity

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Q: lim 1_ x>5 x- 2

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Q: 4. lim (x-5x-2x-x + 100) ズ→ーの x+6x 5. lim X00 3x -5 25x2-8 6. lim ズ→の 4x-5

A: limx→∞ describes what happens when x  grows without bound in the positive direction and limx→-∞ is…

Q: 8 lim x-2+ x²-4 x→2+ X x-21

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Q: 28. lim x -2 x-4 V2+パ-V2-x 29. lim

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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: x-8 1. limx-2 x-2

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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Q: lim 2 + 9x° (1 + x ) ( 3 + x* )

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2x³ – 3x³ + 7x-1 lim X-→+∞ 7x – xª + x² –3 2.x5 – 3x3 +7x6 – 1 lim 7x - x4 + x² – 3 X->-00

A: (a)     limx→∞       2x5-3x3+7x-17x5-x4+x2         we take commom x5             limx→∞…

Q: x+5 lim x→-5 V x² – 9 |-4 2 -

A: Limit of function at variable tending to any value defines the value of the function when the…

Q: x-x-2 6. lim エ→2 (x- 2)² 4-V16+h 9. lim

A: 6. The limit does not exist. 9. The limit is, (- 1/8)   The detailed solution is as follows below:

Q: Find the limits

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Q: lim (2a +x) X-

A: We find the limit by substitution

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: (а) 5x-3 – 4 (i) Lim- x-00 2x-2 +9 (х— 3)2 (ii) Lim X-00 X T- 2x – 3

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Q: V2x (x- 1) X lim |x - | x→1*

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Q: im                           =x/x-2 x-> 2^+

A: Given limit is as below:

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A: