A table of values was created for the function f (x) 3(x²-3x+2) lim x²–6x+5 to investigate the value of X 17 (x). Function values

Q: How does the function behave as lim x → 3- for 7/(3(x-3)(5-x))?

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Q: If 4x - 9  ≤f(x) ≤ x2 -4x +7 for x ≥ 0  , find lim x->4 f(x) .

A: We apply limit on all the sides of the given inequality.

Q: Find the lim f(x), if it exist where 3x X 5 f(x) = 2x-1

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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. Vx2 lim x² + 3 3x2 + 1 x- 00

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Q: Evaluate the limit: x² +6x+8 ]im as x – – > - 4 lim x-4 x+2x-8 2 x ^ 2+ 6x + 8 divided by x ^ 2+ 2x…

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Q: Given that2x – 6 <g(x) <x² – 2x-3, use the Sandwich Theorem to determine lim g(x). X→3

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Q: x - 16 -2 lim

A: Since you have posted many questions here, i can answer only one at a time Please repost remaining…

Q: A) Vx2 +8-3 lim x-1 x+1

A: By using l'Hospital's rule we solve the given problem as follows :

Q: lim. Vx-1 х2-4) п-20+ \x2-4

A: To find the Value of

Q: 1. Evaluate. x'- 2x +12 a) lim x² +1 x² -8x + 7 b) lim- x-7

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

Q: limits

A: Given,

Q: Stlon If f(x) = 6x³ 7x – 3, what is lim f(x)? – -

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Q: If lim x->3 f(x)=7 which must be true? f is continous at x=3 or f(3)=7.

A: I have given you detailed solution with detailed explanations... So  you will face no difficulty to…

Q: What is the lim→1+ f(x) for the function f(x) graphed below: 2 -3 -2 -1 3 -1 -2 -3

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Q: Evaluate the limit: 6x 12 lim I> 2 r2 + 3x 10

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Q: Find lim h(x), if it exists. f(x) = 7x2 + 2x + 3

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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: If 2x – 2 < f(x) < x² – 2x + 2 for x 2 0, find lim f(x). X-2

A: The objective is to find the limit.

Q: Find Vx2 +8 - 3 lim x +1 x-1

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Q: f(x)=(x^2-7x+12)/(x^2-5x+6)

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Q: 2x-5+4x² lim 3-5x+x²

A: To find: The limit of limx→∞2x-5+4x23-5x+x2. Given: The limit is limx→∞2x-5+4x23-5x+x2. Formula…

Q: Let limx2 f(x)=-3 and limx2 g(x)=4. Find limx2 (f(x)/5g(x)+2f(x)g(x))

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Q: x2 - 2x lim r73 x + 1

A: Given, Findlimx → 3 x2-2xx+1

Q: Use the definition to show that x2 + x -6 lim = 5. x - 2 4.

A: I have just used the definition of limit

Q: The value of lim (x³+2x4- 7x3- 5x²+ 11x – 15) X--2 (A) - 1 B) 1 2 (D -5

A: We need to evaluate limx→-2 x5+2x4-7x3-5x2+11x-15

Q: what is the lim x->0  f(x)-f(0)/x^2 if f(x)=2x^2+1?

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Q: V3x -V6-x lim x→-1 4+x2

A: Given: limx→-13x-6-x4+x2

Q: If f(x) = 3x2 - 4x +1 and g(x) = x² + 2x - 3, then what is lim 9X, g(x). X-1 f(x)

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Q: . Is it possible that f(2) = 5 but limx→2 f(x) = 7? If so, what kind of function can satisfy this?

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Q: 5. Find limf(x) x4-3 a) f(x) = 5x4 %3D 6x4 - 3 b) f(x) = 3x3 2x3 - 9 c) f(x) = %3D 3x5

A: We have to find limx→∞fx for a fx=x4-35x4b fx=6x4-33x3c fx=2x3-93x5 Since all above limit has ∞∞…

Q: 10. lim 2-と is A. -1

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

Q: 1. Evaluate. ³-2x² +12 a) lim x--2 x² +1 b) lim -8x+7 x-7

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Q: Find the asymptotes of the functions: 4 x2 1- f(x) = x² +8 x2-6x+7 2- f(x) = x+5

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Q: Find Vx2 +8-3 lim X-1 x + 1

A: Limits question

Q: If 6x ≤ g(x) ≤ 3x4 − 3x2 + 6 for all x, evaluate  lim x→1 g(x).

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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: It was determined that the lim f(x) = 0 and f(2) = 0. Can it be concluded, definitively, that f'(2)…

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Q: If limxS1 ƒ(x) = 5, must ƒ be defined at x = 1? If it is, must ƒ(1) = 5? Can we conclude anything…

A: Given limx→1fx=5

Q: If  2x ≤  g(x)  ≤  x4 -x2 +2 for all , evaluate  lim x-&gt;1g(x).

A: Given  2x ≤  gx  ≤  x4 −x2 +2 for all To find: limx→1gx

Q: What are the vertical and horizontal asymptotes for the function f(x)= 6x^2+x/x+1

A: To find the vertical and horizontal asymptotes for the function f(x)= 6x^2+x/x+1

Q: Evaluate using the Squeeze Theorem.

A: Squeeze theorem: We assume that our original function is hx, and that it’s squeezed between two…

Q: x3-7x2 +10x Which shows that the lim is an indeterminate form? x-2 x2+x-6 x3-7x2+10x lim x→2 x2+x-6…

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Q: Find Vx2 +8-3 lim x--1 x +1

A: we have to solve the given limit . so , we rationalise the numerator .

Q: Evaluate r-8 a) lim- T6 -Vx-2 3.x-1 b) lim ²-1 『→ーズ

A: a) Evaluate the limit limx→8x-86-x-2 as shown below.…

Q: Given that2x - 2< g(x) <x² +2x 3, use the Sandwich Theorem to determine lim g(x).

A: Here we will use sandwich theorem,

Q: If 3x-35f(x) < x²-3X+6 for X z0, find. lim f(x)

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Q: Given that2x - 2< g(x) <x2 + 2x 3, use the Sandwich Theorem to determine lim g(x).

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Q: Find all values c such that lim x-2 2c²x 5c +1 x²-3x + 2 - exists. (a real number)

A: We say a limit exists if right hand limit and left hand limits are same. We have…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.