x² - 4x Evaluate lim a xS4 1 -b. Зх — 1

Q: Vx+8-3 Evaluate ' lim-1 x+1

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Q: 7). lims X-1 メ→ド X-1

A: The value of the limit is, 4  The detailed solution is as follows below:

Q: x-7 Evaluate lim- +1 Jx-3 - 2 Vx- 3 –

A: Consider the given fraction: limx→7x−7x−3−2Rationalize the…

Q: 9x-2x-568 The limit lim X- 4

A: Given information:

Q: x2-4x+3 Evaluate lim x→3 V2x+3-3' ct one: а. 6 b. 3

A: The question is taken from the calculus in which we have to find the limit of given question We…

Q: Q. 1. Evaluate the following -x* +3x +5x –-18 lim a) 5x2 – 2x-0.5 Vx² +15 - 4 b) lim- x-1

A: Part a,Given,          limx→∞-x4+3x3+5x-185x2-2x-0.5

Q: Vx +8 -3 22 Find lim X-1 x+1

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Q: x+1 lim V3- х - 2 Evaluate x→-1

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Q: V 19 - x - 4 Evaluate lim X-3 V28 - x - 5

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Q: *+1 Find lim H00 3x - 4x +5 if it exists. Find lim(1 + r), if it exists. X-4

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Q: 2x +1 if x3 (А) -5 в) 6 23 D) -13

A: Here I am attaching image so that you understand each and every step.

Q: x² - 7x y +12y Evaluate lim(x,y)→(3,1) х- Зу

A: The given expression is limx,y→3,1x2-7xy+12y2x-3y

Q: Snsh-2h Lim

A: To find the limit

Q: 1+t-V1-t lim

A: To evaluate: limt→01+t-1-tt   if we substitute t=0, we get 00 (indeterminate form)   Consider…

Q: 22. If lim f(x) = 18 and lim g(x) = -1.5, find the lim %3D %3D x-a L4g(x). xa А. 6 -3 С. -1 D. -7 В.

A: 22) If limx→afx=18 and limx→agx=-1.5 , find the limx→afx4gx

Q: Vx-15-1 3. Evaluate lim X-4 x-4

A:

Q: 9- 3x x ス-2 g (x)= ax + 3b 4x t b to Find A and B lim g(x) x->-2 lim 9 (x) メー>」

A: g(x)=a-3x,x<-2ax+3b,-2≤x≤14x+b,x>1

Q: x²-1 X If lim x0 x+1 - ax - b} = 2, Find the values of a and b.

A:

Q: x²-9 -,x+-3 Q.1. Let f(x)={x-3 Find the value of k for which limf(x)%3Df(-3) x->-3 k-5k+6,x=-3

A: The function: fx=x2-9x-3x≠-3k2-5k+6x=-3

Q: x² +x-5 1- 2x-x (1) Find lim

A: The given limit,     limx→∞x2+x-51-2x-x3

Q: Зx2 +2х-5 1. lim x-1 х-1

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Q: Give precise definitions of the following statements.

A: Given: a.limx→2-fx=5b.limx→2-fx=5c.limx→2fx=∞

Q: 2/3 x2/3 – 1 13x + 41-1지-4 Evaluate lim 38. Evaluate lim -11 - V

A: Hello, thanks for the question. Since we’ll answer the first question as the exact one wasn’t…

Q: бх — 2, х < 2 3. limf(x) for f (x) = x-2 %3D 13x2 -1, х 22 |

A:

Q: x2 − 1 ?. (a) Evaluate Lim    _____________                         x→1    x2 + 5x − 6

A: We will factor the numerator and the denominator first

Q: a lim 6. *a Jx- Ja -x

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Q: 2+x a) lim x-22+x²

A:

Q: x2-x-6 lim Find: x-2

A: Given

Q: 3(r-4) Vx+5 x-4 3-Vx+5 To evaluate: The value of lim

A:

Q: 3x2+11x+10 4. Evaluate: lim x→-2 x2-4 x3+64 5. Evaluate: lim x→-4 x2-16

A: Find the hand written solution.

Q: (1+x)" - 1-nx | lim where n is a natural number. r2

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Q: - 5 f(x) - If lim X-4 X - 2 1, find lim f(x). %3D

A: Given limx→4fx-5x-2=1 To find limx→4fx

Q: x2+ 2x – 3 In evaluating lim X - -1 which of the following statements is the best answer? 2x2 – x -…

A:

Q: -t+2 Evaluate the lim (1 – 2)

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Q: {x² +7, 14, x = 4 lim f(x), where f(x) =

A:

Q: 2 + 3x – 4, X 1. What is lim X-+2 2.

A: Given the limitlimx→2x2+3x-42

Q: 3x 2+13x+4 p. Evaluate: lim x--2( 2x 2+5x-12

A: Topic = Limits

Q: 2x-1 if x2

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Q: (3+x)² – 9 - Compute lim

A:

Q: x²-16 -4 x +4 - ...lim تساوي

A:

Q: lim Vx2 - 5x +7 3. *2 -6x+1, lim(t1,3 4. *1

A: To evaluate: 3. limx→2x2-5x+74. limx→1-6x+183

Q: 3x +x 6. Evaluate the limit: lim- x→0 а. О С. 1 b. 3 d. -1

A: “Since you have asked multiple questions, we will solve ONE question for you. If you want any…

Q: (2x-1)(3-x) is limx→ (x-1)(x+3) +00

A: Given limit, limx→∞2x-13-xx-1x+3

Q: 3 - m3 x + 2 2 . lim lim x-2 x + 2'x2 – x – 6 A- m4 lim as x approaches m 1. LO

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: x' -x+1 Evaluate (iii) lim 5x' +7 and show work

A: The given limit can be evaluated by taking x3 as common from numerator and denominator

Q: x2 - 144 = 24. 1) Give an e-d proof of lim x- 12 x→12

A: proof of The proof, using delta and epsilon, that a function has a limit will mirror the definition…

Q: 19) Find lim f(x) %3D 19) X2 + A) 2 B) – 2 C) - 4 D) - 8 20) Find lim f(x) 20) X 2

A:

Q: 8(x) x -1 Find lim

A: Solution is given below

Q: x2-4x+1 2. Evaluate lim X-1 x-1

A: The given question has been solved in detail.

Q: ²+2x-8 Evaluate lim X-2 x-2

A: To evaluate: limx→2x2+2x-8x-2 Given limit is of 00 form, we can solve this limit using factorization…