Solve for the limits of the following functions. Show complete solution in rational.

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: Use the graph of the rational function to complete the following statement As x -4, (x) As x -4, x)…

A: Since we know that asymtodes meets the curve at infinity. Therefore from the graph we can see that…

Q: find the limit of each rational function (a) as x→ ∞and (b) as x→ -∞. Write ∞ or -∞ where…

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

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Q: 1. lim(2x² + 2x - 3) X-4 3.9 X f(x) 3.99 99 3.999 4 ? 4.001 4.01 4.1

A: To find: limx→42x2+2x-3

Q: find the limit of each rational function (a) as x→ ∞and (b) as x→ -∞. Write ∞ or -∞ where…

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Q: 3x -10x+7x-12 7. lim x--1 x-2

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Q: find the limit of rational function (a) as x→0 and (b) as x→ -0. x³ + 7x? – 2 g(x) x² – x + 1

A: Given  g(x)=x3+7x2-2x2-x+1

Q: find the limit of rational function (a) as x→00 and (b) as x→ -o. 3x7 + 5x? – 1 f(x) 6x3 7x + 3 -

A: (a) Given f(x)=3x7+5x2-16x3-7x+3 For x→∞…

Q: 5x2 – 2x + 7 2. lim 9 – 2x – 7x2

A: we will evaluate the limit.

Q: Find the absolute maximum and minimum values off , if any, on the given interval, and state where…

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Q: Use the graph of the rational function to complete the following statement. Ay As x → -4 , f(x)→ -5…

A: The given graph has a vertical asymptote at x=-4.

Q: 2x 2-3х-9 lim x-8 4x2+29

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Q: find the limit of each rational function (a) as x→ ∞and (b) as x→ -∞. Write ∞ or -∞ where…

A: Take x common from numerator and denominator and cancel the same.

Q: Given the function f(x) = x³ – 3x² + 3x – 10, determine the absolute maximum value of f on the…

A: We have to find absolute value

Q: 2x2 + 9x + 7 lim 1→2 r2 + 5x +6

A: Consider the limit: L=limx→22x2+9x+7x2+5x+6

Q: Use the graph of the rational function to complete the following statement. As x → -1", f(x) → As x…

A: Given,

Q: Use the graph of the rational function to complete the following statement. Ay 3- As x - 3, f(x) →…

A: Just analyse the given graph at x = - 3- Means just before x=-3

Q: Use the graph of the rational function to complete the following statement. As x →3, f(x) → As x →…

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Q: Find the limit. (7 +2) 8 lim X→ 00

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Q: find the upper limit of the positive root of the following equation x^3-3x^2-2x+7=0

A: For the solution of the problem follow the next step.

Q: Use the graph of the rational function to complete the following statement. As x→4, f(x) →

A: Here we have to use the graph of the rational function to complete the following statement. As x→4-,…

Q: X-9 lim

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Q: Evaluate the following limits if they exicts, show complete solution.

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Q: find the limit of each rational function (a) as x→ ∞and (b) as x→ -∞. Write ∞ or -∞ where…

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Q: Use the graph of the rational function to complete the following statement. As x - 1", fx) – As x -…

A: Given a graph of rational function f(x).

Q: 3. lim (4x2 – 3x + 3) x--1

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Q: Calculate, as a function of k ≥ 2, the limits

A: given,      ak=limx→01-coskxx2

Q: Use the graph of the rational function to complete the following statement. Ay As x - o, f(x) →

A: From the given graph of the rational function to complete the following statement. As x➜  -∞ , f(x)…

Q: х2-3х-4 - 3x- lim x-4 х— 4

A: The given problem is solved below in detail.

Q: Use the graph of the rational function to complete the following statement. As x → - 00, 1(x) → As x…

A: Here we have to use the graph of the rational function to complete the following statement.

Q: Write eqaution of rational function, f(x), that satfies the following conditions: f(x) < 0…

A: To write down the expression for the rational function with the given properties

Q: Evaluate each of the following limits. V2r? +1 1. lim Зх — 5

A: Explanation of the answer is as follows

Q: find the limit of each rational function (a) as x→ ∞and (b) as x→ -∞. Write ∞ or -∞ where…

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Q: 3x-2x+1 5. lim x-1 x+1

A: The objective of the question is determine the limits of the given functions.

Q: x+3 lim x+6x+9 X-3

A: Given, limx→-3x+3x2 +6x+9   We have to find the value of  above limit

Q: Find the domain of the following rational function. 20x +X H(x) = X +10

A: Given, H(x)=20x2+xx2+10

Q: Use the graph of the rational function to complete the following statement. As x → - 1, f(x) – ->

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Q: find the limit of each rational function (a) as x→ ∞and (b) as x→ -∞. Write ∞ or -∞ where…

A: a).

Q: lim 3x²-5x+6 x2+x-3 lim (s+t)?-t2 S-0

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Q: Use the graph of the rational function to complete the following statement. As x - 0o, f(x)→ As x →…

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Q: -3 f(x) = x2 +2

A: By Absolute extremum value of a function f(x) we mean that the maximum or minimum values of f(x) for…

Q: find the limit of each rational function (a) as x→ ∞and (b) as x→ -∞. Write ∞ or -∞ where…

A: a).

Q: lim (3x2 – 5x + 9) X-4

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

Q: Use the graph of the rational function to complete the following statement. As x → -1", f(x) →

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Q: Use the graph of the rational function to complete the following statement. As x 1, f(x) → ...... As…

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Q: 2x2+1 lim x→∞ (2-x)(2+x)

A: Try to bring the x in the denominator since x tends to infinity and 1/∞ is 0.

Q: Use the graph of the rational function to complete the following statement. As x - 00, f(x)→ As x -…

A: The given graph has a horizontal asymptote at y = 0.

Q: If a and b are positive numbers, find the maximum value of f(x) = x³(9 – x)b on the interval 0 < x <…

A: Given: - If a and b are positive numbers, The function is f(x)=xa(9-x)b on the interval 0≤x≤9 To…

Q: find the limit of each rational function (a) as x→ ∞and (b) as x→ -∞. Write ∞ or -∞ where…

A: