7x2 + 33x + 20 Let f(x) 8x2 +14x This function has: 4 1) A y intercept at the point 2) x intercepts at the point(s) 3) Vertical asymptotes at x = 4) What are the x values in which the height of the graph is approaching infinity or negative infinity? 5) Horizontal asymptote at y = 6) What is the limit as x approaches infinity? 7) What is the limit as x approaches negative infinity?

Q: Use limits to determine the equations for all horizontal asymptote.  y = (sqrt(x2+9)/(sqrt(9 x2+1))

A: The given function is

Q: Use limits to determine the equations for all horizontal asymptotes.

A: Use the limit  y=x2+99x2+1  =x2(1+9x2)x2(9+1x2)  =1+9x29+1x2

Q: ate a continous and differentiable functiin f(x) with the following properties:  f(x) is decreasing…

A: It is given that , f(x) is decreasing at x=-6, f'-6<0 f(x) has a local minimum at x= -3  and f(x)…

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: Find the limit. - 9x lim x+2 x→-2 - 9x lim x+2 x→-2-

A: To evaluate: limx→-2--9xx+2

Q: Lim x-0 et - 10t

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Q: what is the maximum/minimum of: f(x)=5x3e-x on [-1,6]

A: Differentiate the given function with respect to x and find the critical points,

Q: Use limits to determine the equations for all horizontal asymptote.  y = sqrt(x2+4)/( x)

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Q: Evaluate the limit x – 4 | lim 2--1 8x2 – 3x + 8

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Q: 14. Find the absolute maximum and the absolute minimum of f (x) = -x³ + 9x on [-4, 3].

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Q: find domain and asymptotes of  fx= x^2+x-2 over x^2-2

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Q: 9n+13n-5n-10 lim -V25n16 + 5n² – 9n Also, find the asymptotic value of above limit.

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Q: 1.Can you easily apply the addition rule for limits to this function? Why or why not? What is the…

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: (х — 2)(х + 2)(г+ 1) (г + 3)(ӕ + 1)

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Q: a) Find the limits: 1. lim *-1 X-1x-r V+4-2 2- lim 5x 3- lim X-00 Vr2+4

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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: 4. Find the limit, if it exists. If the limit does not exist, explain why. 3x²+4-4 (a) lim x2x²x2 2…

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Q: Find the limit. Use a graphing utility to verify your result.

A: We need to find the following limit: We will use the following property of limit in this question:…

Q: Construct an example of a limit problem that requires the use of a multiplication by a conjugate and…

A: Given - construct an example of a limit problem that requires the use of a multiplication by a…

Q: Find the limit x approaching -1 f(x): x2-2x-3/(x3-5x2+7x-3)

A: fx=x2-2x-3x3-5x2+7x-3

Q: Use limits to determine the equations for all horizontal asymptote.  y = (1 - x2)/( x2 + 1)

A: To find the horizontal asymptote using limit we find the limit of y when x approaches infinity.…

Q: 4. Find the limit, if it exists. If the limit does not exist, explain why. 3x²+4-4 (a) lim x2x² - X…

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Q: Find the limits of x² 1- lim Vx+1 -1 +x - 6 2- lim | x+3 x→-3

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Q: Divide numerator and denominator by the highest power of x in the denominator and proceed from…

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Q: Use limits to determine the equations for all horizontal asymptotes. 1- x y = x² + 1

A: To determine: The horizontal asymptote of the given function with the help of limits. Given…

Q: Find horizontal asymptotes by showing limits for x → ∞, x → -∞. Give some argument (numerical or…

A: find limit for

Q: limit as x approaches infinity, 10x^5+x^4+31/x^6

A: Here an expression is x is given to us and we need to calculate the value of expression when x tends…

Q: The process by which we determine limits of rational functions applies equally well to ratios…

A: limx→∞x-1+x-4x-2-x-3

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: (a) A function may have a maximum of two horizontal asymptotes. Explain why this is the case using…

A: Part-(a) : A function may have a maximum of two horizontal asymptotes : Because, to find horizontal…

Q: 10. Evaluate the limit: -3x -9 x +3 lim x--3+ \x2 +x- 6 x-2/

A: Given: L=limx→-3+-3x-9x2+x-6+x+3x-2 We know that  limx→afx+gx=limx→afx+limx→agx…

Q: Find the limit  x appraoaches infinity (2 + 10x  ) / (3- 10 x )

A: For simplification, divide the numerator and the denominator of the fraction by 10x.…

Q: limit as x approaches infinity, -2x^3-2x+3/3x^3+3x^2-5x

A: Here an expression in x is given and we need to find its value when x tends to infinity shown below.

Q: Determine the infinite limit. x2 lim (x – 3)2 x-3 -00

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

Q: Determine the lim 2x - 2x2 - O-2 The limit does not exist

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Q: 2х -1 b) Find all asymptotes of f (x) = х —1 Show all necessary limits (including one-sided limits,…

A: Given:- f(x) =(2x-1)/(x-1)  To find:- All asymptote of f(x)

Q: Determine the infinite limit. x² - 4.x lim 1+4+ x2 - 8r + 16

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Q: Find the limit (if it exists). If it does not exist, explain why.

A: To evaluate the limit: lim△x→0-1x+△x-1x△x. Here, x will be treated as constant. When we put the…

Q: 3) Find the vertical asymptotes (verify with limits) 2 x² - 4 f(x) =

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

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Q: Calculate the limit algebraically. 7x2+7x-6 lim 10x-2 1. 11 9. 10 10 1/2

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Q: Exercise To Try 17 Find the limit 1- x – x2 lim 2x2 7

A: Dear student as per our rule we can only solve one question in one session. Please post the other…

Q: EVALUATE: A. Find the limit 5. lim (x3 + 8) x--2 6. lim (x3 — 2xх? + 3х — 1) x--1 x² – 5 7. lim x-5…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Find the limit L of the function x3 – 4. x2 – 91 · x + 490 f(x, y) = 2· x· y – 14 ·y – x + 7 | as…

A: topic- limit

Q: 18 -a+1 Find the limit lim a9 2x2+3x-1

A: Given, limx→918x2-x+12x2+3x-1   To evaluate limit

Q: Use limits to determine the equations for all vertical asymptote. y=(x2-x-2)/(x2-2x+1)

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Q: Evaluate the limit 9n4 + 13n³ – 5n – 10 lim -V25n16 + 5n² - 9n Also, find the asymptotic value of…

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Q: 7. Find the limit of 9x6 – x lim x³ + 1 .3

A: Given: L=limx→∞9x6-xx3+1

Q: (х — 2)(г + 2)( +1) (х + 3)(ӕ + 1)

A:

Q: 7. Evaluate the limit: 9x2 -2 lim 2 3x 2 x-3

A: To evaluate the limit:limx→239x2-22-3x Solution: It is 00 form. We will use L-hospital rule. In…