Solve for the limits of the following and state the limit laws use in solving. Show your complete solution. 3. limx-4(X2 + 5X – 5) 4. limx-3[5(X² + 3X - 3)] 6x2-x-10 5. limx-4 3x-5

Q: What is the limit of (5+h)2-25/h as h approaches 0?

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Q: b) Solve the limits of the following expressions. i) lim *-1 x→3 x+3' ii) x²+6x+9 lim x→-3 x+3

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Q: Find the limits using any appropriate method. 4.4 #64 lim xe¬* 4.4 #44 lim Vxe

A: We will use DL hospital rule to solve this question.

Q: Determine the infinite limit: limit of the square root of x/(x-4)^3 as as x approaches 4

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Q: Solve for the limits of the following functions. Show complete solution.

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Q: What are the values of the following limits? 2e – 5 (a) lim 1-e 3 + 4er [ Select) 2e - 5 (b) lim…

A: The value of following limits

Q: V5x+9-3 -lim x+0

A: To evaluate: limx→05x+9-3x which is in 00 form. So, the L'Hopital rule is to apply.

Q: What is the limit as x approaches -2 from the left? 3 1 -1 2 r = 2 -1 -2 +00 -2 - 00

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Q: Find the limit (if it exists). |x+7-3 lim x → 2 x- 2 а. 6 b. 1

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Q: Guess the value of the following limits: 1. lim -3r+2 x-2 x-2 +2x 2. lim X-0 -2x-1-2 3. lim )

A: We have to evaluate the limit for the following... 1. limx→2x2-3x+2x-22.…

Q: Q2) Solve the following limits. 5x+4-2 A) lim X-0 5x+8x? B) lim x-0 3x-16 x2

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Q: Find the limits lim 1 as 2 – 4 а. х— 2+ b. х— 2 с. х— -2+ d. x→-2

A: Given, lim1x2-4 (a) x→2+→2+h, h→0 limh→01h2+4+4h-4 limh→01h(h+4)→∞ (b) x→2-→2-h limh→01h2+4-4h-4→∞

Q: Find the limit. 6x +2 lim 13x 9 > Next Question

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Q: Find the limit. (If an answer does not exist, enter DNE.) lim x → ∞  9x − 8 2x + 5 Could you please…

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Q: Find the limit by rewriting the fraction first. ху - 2у - 2x+4 lim x-2 (x.y)-(2,4) X+2 ху - 2у - 2x…

A: Individually we will find limit for x and y. For limit with respect to x, y=0 and limit with respect…

Q: 1. Decide the limit: lim 2x + 3 X-3 2. Explanation 3. Can the function f(x) = 2x + 3 attain the…

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Q: (x+8x) 2x²-1 Find the limit of as x approaches infinity.

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

Q: Q3) Guess the value of the following limits: 2-3x+2 1. lim X-2 x-2 2. lim+2x=2-x-1 -0 -2x-1-2 3. lim…

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Q: V5x+4-2 -lim

A: Given that : lim(x tends to 0) (√(5x+4)-2/x). We find the value of this limit problem. Here i…

Q: 4x-5 1. lim x-3 5x+1 3x2-8x-16 2. lim x-4 2x2-9x+4

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Q: Find the limit. 16x(3x + 16)² lim 1 4

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Q: Use the properties of limits to find the given limit. 12x2 - 7x+9 lim x∞4x +7x-31

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Q: Find the limit by rewriting the fraction first. ху - Зу - 4х + 12 lim x- 3 (х,у) — (3,7) X#3 ху - Зу…

A: we have to find the limit of the given expression

Q: 8. Determine the limits as x approaches infinity. 2х3+1 3 а. -3x3-3x2+7 x°+3 С. х2-2 3x b. 2x2-1

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Q: 2 3x-x² lim X→-2 х2-х-6

A: We have to find limit

Q: Find the limit. (7 +2) 8 lim X→ 00

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Q: Find the limits 2.1 2x + 3 lim Xo Sx + 7

A: To evaluate the limit: limx→∞2x+35x+7 Solution: limx→∞2x+35x+7 On simplifying further we get:…

Q: Find the Limits of: whereas n = 39 e3x – 8 lim n- x-In2 e2x - 4

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Q: Find limits: 2x2 — х — 1 lim b) х--1 4 — 3x? - х х* + 3x + 1 lim x+-1 2x2 – 3x – 5 Зх — а) V- 2 lim…

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Q: x²- 4 as x approaches infinity. Find the limit of x-

A: Given   limx→∞ x - x2-4Multiply by conjugate of x-x2-4limx→∞ x - x2-4 x x+x2-4x+x2-4

Q: What is the limit as x approaches -2 from the right? 3 2 -3 -1 4. 2 -2 -4 - 00 A -2 +00

A: To find the limit as x approaches -2 from the right.

Q: Compute the limit. Justify your answer. 5x3-12x2+38x4– 19 lim 28x+19x-58x2-7 X- 00

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Q: lim(x² – x – 1) X→3

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Q: #18 Find the limit. 2. Tim x²-2x 2こ4x+4

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Q: х+ 2x2 — х3 6. lim 3 — х2

A: To evaluate: The limit limx→∞x+2x2-x33-x2. Calculation: The limit limx→∞x+2x2-x33-x2 can be obtained…

Q: 1 4 lim x→2+ In(2x – 3) х — 2

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Q: Determine the limits of the following items using the limit laws. Write your complete solutions on a…

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

Q: Find the limits by rewriting the fractions first.

A: Given limit is, lim(x,y)→(1,1)xy-y-2x+2x-1

Q: 3. lim (4x2 – 3x + 3) x--1

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Q: Evalnate the fo llowing limits 1. lim 4x-5x+1 メ→ -4x? 2. lim I x²+5x -6 X- 4 lim (1x-7)* 3. 2.

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Q: x2 +2x-3 lim 4. x--3 x2+7x+12

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Q: -lim ズ→4 (x2+16.

A: Given: limx→4x+4x2+16

Q: Find the limit. -重班 4x + 4 x² + 2x lim x-2+ Does not exist 4 O- 1

A: Find the limit

Q: Find the following limit. 4x - 5x -6 lim 2 x-2x + 6x - 16 2 4x - 5x - 6 lim (Simplify your answer.)…

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Q: Vse L Hospital's rule to find the limit 2メ+1 2x-3 2x+5 Xー→ 00

A: Given limit, Let us use the property, u = eln(u) . Using logarithmic property,

Q: Calculate the limit value: x² – x – 6 lim x--2 x + 2 Select one: O a. 00 b. 0 O C.-5 d. -3

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Q: lim v5 – 11x x→ -1

A: Topic:- calculus

Q: Calculate the limit algebraically. 8x2+15 lim 08 O -23.5 03 O-47

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Q: Solve the following limits including the complete procedure and the result for each of them, IN…

A: Given : limx→-12x-1x2-9x+3 To Find : Limit by definition

Q: 2 3x-x² lim х>-2 \x-х-6. х2 —х-6

A: A detailed solution is given below