Find the limit: (a) lim 3x+9x2-4x+17 5x3-3x-14

Q: Find the limit algebraically by factoring the expression first. lim x--10 x + 10 -10x² + 1000

A: Follow the procedure given below.

Q: Find the limit of 9sqrt(x^2+7x)-9x as x approaches infinity.

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Q: find the limit or explain why it does not exist. x2 – 4x + 4 lim x3 + 5x² 14x a. as x→ () b. as x→2

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Q: Evaluate the limit 10x + 8 lim 7x2 – 7x + 8

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Q: Find the limit. 5x3 + 1 lim 15x3 - 3x2 + 9 | 3.

A: Given: limx→∞5x3+115x3-3x2+9

Q: Find the limits 2x2 + 3 lim →-∞ 5x² + 7

A: To find: The limit of limx→-∞2x2+35x2+7. Formula used: Infinity property.…

Q: Evaluate the limit 10x + 8 lim 7x2 7x + 8

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Q: find the limit or explain why it does not exist. x2/3 lim x64 16 Vx - 8

A: Our Aim is to find the limit of the expression given below:-limx→64 x2/3 -16x -8-(i)

Q: Evaluate the limit 4x + 11 lim 5x2 – 3x + 9

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

Q: find the limit x appraches 4 (2x3/2)

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Q: Find the limit algebraically by factoring the expression first. – 6x² + 54 lim x – 3

A: To evaluate: limx→3-6x2+54x-3

Q: The value of the limit 2-x3 lim x2+3x3 is Select one: -1/3

A: The given expression is limx→∞2-x3x2+3x3

Q: Evaluate the limit: -5x -35 lim x-7 x2 + 13x + 42

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Q: Evaluate the limits lim x² + 3x- 4. x→-1 -6 -7 -2

A: We can find the limit as below.

Q: Determine the limit, 4x - 9x+ 8 lim 2x2 + 3

A: Given,  limx→∞4x2-9x+82x2+3

Q: Find the Limit of a Monomial:

A: The given limit limx→2-6x4 can be evaluated as, limx→2-6x4=-6×24                   =-96

Q: Evaluate the limit. 3x3 – 5x² + 1 lim 00-X V2x6 – 4x + 3

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Q: Evaluate the limit 6x 2x 9x lim 3x 9x 3

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Q: Find the following limits: 3x2 + 8 (a) lim -4x² + 5

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Q: Determine the value of lim,→∞ 7x²+5 x²+3x+7

A: We have to determine the value of limx→∞7x2+5x2+3x+7.

Q: Find the limit as x approaches 3 for x²-3x 2x²-5x-3

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Q: Find the limit algebraically by factoring the expression first. lim X-6 -8x2-56x-48 x + 6

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Q: Find the limits. Write ∞ or -∞ where appropriate. lim x2 - 3x + 2 / x3 - 2x2 as x→ 2-

A: To Determine: Find the limits.

Q: Find the limits 3x lim x→-5 2x + 10

A: Our Aim is to find the limit of the expression given below:-limx→-5- 3x2x+10-(i)

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (5x2 + 6) X-8 326

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Q: Evaluate the limit lim X->00 8xナ9x 9x3-7

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Q: Find the limit if it exists. 1. limg4 (3x – 2x + 6) 2. limz2 (8 – 3x + 12x²

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Q: Evaluate the limit 7x2 2.0 2x +3 lim 3x +4

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Q: Find the limit or show that it does not exist. √x+3x² lim 818 4x - 1

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Q: Find the limit.

A: To evaluate the limit:limx→2xx2+1 Evaluating the limit. limx→2xx2+1=222+1=24+1=25

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

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Q: Find the limit. 3x3+ 4x2 lim X- 00 x- 5x2 -00 3. 8

A: Topic = Limits

Q: Evaluate the limit 9x2 - 6x + 9 lim 11x + 5 エ→00

A: We know that , limx→infinity   c • f(x)  = c limx→infinity f ( x )

Q: State the limit definition and use it to find f’(x) given fx= 5x^2+3x-2

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Q: Find the limit. Ilm x-1x²+3

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Q: Evaluate the limit 10x2 7x +7 lim 2x +7 08.

A: Given query is to find the limit of the expression.

Q: Find the limit, if it exists. If the limit does not exist, explain why. 2x + 12 42. lim |x + 6| x→-6

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Q: Evaluate the limit below. - 2x2 + 13x – 21 lim x→3 х — 3 -

A: limx→3-2x2+13x-21x-3apply L hospital rulelimx→3-2(2)x+131limx→3-4x+13

Q: Find the limits. Write ∞ or -∞ where appropriate. limx2 - 3x + 2/x3 - 4xas x→ 2+

A: Here given Simplify the given limit as

Q: Find the limit of (7x³)/(4x2-2x+10) as x approaches infinity.

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Q: Find the limit of (x^(2)-2x-8)/(x^(2)-5x+6) as x approaches 2 from the right

A: The given limit is,

Q: What is the lim,→1 4x 7 .? x+1

A: limx→1 4xx+1The function is defined at x=1.limx→1 4(1)(1)+1limx→1 41+1limx→1 42=2

Q: lim(32x-3 + 5) X4

A: The given limit,        limx→432x-3+5

Q: Evaluate the limit. 8x+32 lim x2+5x+4 x-4 8 8. 3.

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Q: Evaluate the limit 4x2 5x + 5 lim x → - 2 x – 7

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Q: 16x²+13x – 7 is The value of the limit lim 11x -5

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Q: Evaluate the limit. 1. lim (2x3 - 3x2 +x- 1) X-1

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Q: Evaluate the limit. 2x2 + x lim 7х + 6

A: Given: The given limit is limx→∞2x2+x7x+6. Divide the numerator and denominator with x…

Q: Find the limit. бх — 4 lim 4x+7

A: