In view of part (a), explain why the equation x4 – 8x² + 16 lim lim(x - 4) X→2 x2 – 4 x→2 is correct.

Q: Find the following: (1) lim *-1 3 X-4 x-4 Ix-21-3 (2) lim X-5 x-5

A: Here we have to find the following given limit value

Q: O Find Lim メー→2 2- (2X 2- x X +2

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

Q: a) lim -Vx+7 2-x x-2 b) lim x+1 Show your work

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Q: lim (x3 +x

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Q: Show that lim Z-2 (2-2)4 || ∞

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Q: evaluate the Ilimits 3. X+2x 2. lim メー→○ X42x

A:

Q: What is lim 2 (x - 2)

A: Given

Q: What is lim In x? x→2

A:

Q: The value of lim (xe- x) will be ...

A: It is given that limx→∞xe-1-x.

Q: In(x-2) 1- Find , limx→2 In(x² -4)

A: Answer and explanation is given below...

Q: What is lim ? X-0+ x

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Q: If lim, » 1512i (z2 + 30z) = x + iy, what is the value of a

A:

Q: Evaluate in terms of the constant a.

A: We have to find the limit in terms of constant a: limx→02a+x This is determinate limit so we need to…

Q: Find lim,x - Vx²+ 2

A: To find the limit

Q: In view of part (a), explain why the equation x² + x – 6 lim x-2 lim (x + 3) x – 2 is correct.

A: Explain why the equation limx→2x2+x-6x-2=limx→2x+3 is correct.

Q: 1. lim -4x +7 = -1 X-2

A:

Q: Find a number b such that lim- .2. x²-4 =2 x-b x-x -2

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Q: Is there a value of a for which limx1 3x^2+ax+a+3/x^2+x-2 exists? Enter the value of a if such a…

A:

Q: find the limit or explain why it does not exist.

A: We have to find the limit: limx2+5x+5x3+3x2-11x For the given condition, a. as x→0 b. as x→3.…

Q: Find 2-Vx2-5 lim X-1 x+3

A:

Q: et* -1-4x 4х b. lim x-

A: The indeterminate form of limits is an expression that cannot be determined after the substitution…

Q: Find the value of * lim - 1 - 1 1 +x

A: Let us take f(x)=x11+x-1. Then we have to find limx→0f(x).

Q: If limx→0(2f(x)−15)=45limx→0(2f(x)−15)=45, then what must limx→0f(x)limx→0f(x) equal?

A: Given limx→02fx-15=45 Find limx→0fx

Q: Evaluate the limit: x² - 7x + 3 lim x→∞ x3 - 9x2 + 2

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Q: lim (3x + 5) = 2, x→-1

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Q: 1 lim - X4x-4

A: Given : limx→4 1x-4 Left hand limit The function decreases without a bound: limx→4- 1x-4 Apply the…

Q: find the limit or explain why it does not exist. lim 12 In (2 – Vi) -

A: We have to evaluate the following limit: limt→1t2ln2-t

Q: x³ - 125 lim x-5 x - 5

A:

Q: B: Find: Vx+4-2 limx0 lim,-

A: Given, limx→0x+4-2x we have to find the limit.

Q: In(x-2) 1- Find , limx→2 In(x²-4)

A: The given limit is, limx→2ln(x-2)ln(x2-4)

Q: Suppose that limx→ -2 p(x) = 4, limx→ -2 r(x) = 0, andlimx→ -2 s(x) = -3. Find lim x→ -2 (-4p(x) +…

A: Given limx→-2p(x)=-4 , limx→-2r(x)=0 and limx→-2s(x)=-3We need to find:limx→-2-4p(x)+5r(x)s(x)

Q: Suppose that limx→ -2 p(x) = 4, limx→ -2 r(x) = 0, andlimx→ -2 s(x) = -3. Find lim x→ -2 (p(x) +…

A: Suppose that limx→ -2 p(x) = 4, limx→ -2 r(x) = 0, andlimx→ -2 s(x) = -3. Find limx→ -2(p(x) + r(x)…

Q: Use the e-8 definition to show that lim VI = 2. Z-14

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Q: Evaluate Lim マ-1 X-1 区 -1

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Q: 1. Evaluate. 3x -14 a) lim- -4 x-2 r²+x-12 b) lim x-3

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Q: b. Find lim (xvx²+1-x²)

A: Here, we take common x.then multiply denominator and numerator by √(x^2+1)+x

Q: Use the e-d definition to show that lim x2 I→2

A: In this question we will use basic of calculus i.e basic of limits. We will simply find the limiting…

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

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Which property of f(x) = x' allows us to conclude that lim x- 8?

A: f(x)=x3 is a continuous function. So, it is continuous at x=2 also.

Q: lim (x³ + 4x² + 4x – 1) = –1, x-2

A:

Q: Explain the meaning of lim f1x2 = - 0. xSa"

A: Given:                   limx ς a+ f1x2=-∞   To determine:                        Meaning of this…

Q: 10. lim 2-と is A. -1

A: we have to find the value of the given  limit  lim    x→-∞2-x2x

Q: Evaluate in terms of the constant a.

A: Given :            limx→ax-ax-a

Q: Determine limx→−2 6/x-2, if it exists

A: limx→−2 6/x-2 yes limit exist and we can direct apply the limit so put -2 in given function…

Q: By using the e- & definition, show that lim 2² + X 4 = 1.

A: By the €-δ definition of limit,

Q: Lim 4x+2

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Q: lim (x2-4) x-2 x-2 7-,

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

Q: State the precise definition of lim f1x2 = L. xSa

A: State precise definition of limx→afx=L

Q: Use the definition to show that x² - y² lim (x,y) →(0,0) x² - y² 0.

A: