Given: f (x) = -3x2 - 1 Find: lim, 1 (f (x))

Q: 2.x – 3 - Find lim x→-∞ 4 – V5x² – x – 2

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Q: x² + kx – 10 Find the value of k that would make the lim exist. lim X – 2

A: Explanation of the answer is as follows

Q: 3x -4x b) lim X→-00 x2-2x3

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

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Q: x² +2x - 3 Evaluate lim -5x?

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Q: Find the indicated limit. a) V3x+5-V5 lim a) b) x*+2x3-15х2 lim х-з х3+2x2-9х-18 b)

A: As per our policy we have to do only single question.  A) 3/(2√5)  B) 12/5

Q: 21 f(x)= 3x2 +4x +1 and g(x) = x2 -2x-3, then what is lim f(x) *→19(x)?

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

A: The limit shows the function behaviour at given point. The value of function for a given limit is…

Q: Find the limits x2 – 4x + 8 lim I -00 3x

A: Given  We need to find the limit.

Q: Use the method of your choice (numerical, graphical, or algebraic) to determine the 2x+8 value of…

A: We Use here Algebraic Method to find limit of rational function..

Q: Q8. Find the indicated limit: 2x +16x – 28 a) Lim = 2x +8 4x +x- 30 b) Lim x--3 x+ 3

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Q: 8x10+2x-3 4. Find lim using rules for limits at infinity.

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Q: What is lim f(x)? X-1

A: Given graph: To Find: limx→1f(x)

Q: r+ 2 Calculate the limit lim 1-2 x2 – 3x – 10°

A: By using L'hopital's rule, we find the limit of the function.

Q: х-V4х+5 1. lim х-5 х2-25 1 4 2. lim х--з+ \x2+3х-18 7x2-11х-30,

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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: What is the value of c?

A: we have to to find the value of 'c'. limx→c+2x+1=0

Q: Evaluate in terms of the constant a. lim (2a + x) x→ 0

A: To Determine:  Evaluate in terms of the constant a.…

Q: V2x -1 Using defination of limits, prove that lim Jx- 3 L^ = x4

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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: If V7-6x2 sf(x)s7-x² for - 15x51, find lim f(x). lim f(x) = (Type an exact answer, using radicals as…

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Q: メ-D4 xー12 In do torminate Form Lim | १ - 3

A: Given:   Limit equation is given

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: (-x² – 6x–10 xs-2 1. lim g(x), where g(x)={ x>-2

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Q: Find the limits: Vx - 1 lim х>1 х — 1 a. 2x3 b. lim х- оо 3(х-2)2 2x3 с. lim х-2 3(х-2)2 x+1 d. lim…

A: Since there are multiple questions posted, we will answer the first question (1). If you want the…

Q: Solve without a calculator: lim (x3- 8)/(x2- 4) as x approaches 2.

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Q: lim,-1 f(x) =

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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 lim as x approaches infinity where

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Q: Find the limits algebraically: (a) lim vx2 + 2x – 3 x-3

A: Find the limit of the given expression. Given function is continuous at x=3. So we can apply the…

Q: f-x² + 10x - 25 < g(x) < a² - < 10x + 25 for 4 <x 6, evaluate lim, →5 9(x).

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Q: Vx-3-V9-x 3. lim X-6

A: Solving the problem by finding the limit of th3 function.

Q: Find the limit of the function lim_4-√x²+7 X - 3

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Q: Evaluate Lim マ-1 X-1 区 -1

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Q: If lim (x approaches 6) (f(x)-4)/(x-3)= 2, how do I find lim (x approaches 6) f(x)?

A: We separate the limit first.

Q: Evaluate the limit 2x + 4 lim I→ 0 3x2 - 7x + 7

A: Given

Q: x3+64 is: 3- the limit of this function lim_ -4 2x²+6x-8 30 b)- 24 26 c)- 5 5

A: Topic = Limits

Q: Next Evaluate the limit: 2x + 12 lim I+ -6 x2 36 -

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Q: Exercise To Try 21 Find the horizontal and vertical asymptotes of f(x) = V9x²+1 x+2 9x² + 1 lim x +…

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Q: lim 2x + 1 -0

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Q: 4x + 12 lim 2 x 3 x²9

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Q: If 8x – 19 < f(x) < x² + 4x – 15 determine lim f(x) x→2 What theorem did you use to arrive at your…

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Q: Solve the problem. Given that f(x) = 4x + 4, find lim [f(x) - f(7)/(x - 7)] x-7

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Q: lim X-1 2メー1 4x2

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Q: x2-6x+9 lim x->3 is equal to: x-3

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Q: 2f(x) + 3x – х — 1 15 - Suppose that lim 5. Find lim f(x).|

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Q: answer does not exist, explain why. x - 1- V3x +1 a. lim- х — 5 1- x b. lim (x – 6)²

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Q: (b) Given that lim f(x) == 2 and lim g(x)=4 , find the limit x2 1 lim 3f(x)- Vg(x) x→2 Using the…

A: Given thatlimx→2f(x) = 2  and limx→2 g(x) =4    and we have to find the value of the limit…