Find vertical and horiztonal asymptotes for r(x)=8x^3/x^3+2x^2+8x

Q: What are the three cases we must consider for finding horizontal/slant asymptotes?

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Q: find the limit as x approaches 1 from the right of  ln(x^9-1)-ln(x^7-1) using L'Hospitals' rule

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Q: Calculate limit of (square root of x^3-1)-x^2 as x approach to positive infinity. Thank you!

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Q: Illustrates how can a curve cross one of its horizontal asymptotes many times?

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

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Q: find limit  lim 3x^2+2/9x^3-2x^2+7 x=infinity

A: Divide both numerator and denominator by x^2.And distribute the x^2 with each term.

Q: x* +x + 2x+2 lim x-1 x+1

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Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A: Given: limx→2x-2ln3x-5 Here we get an indeterminate form, Therefore by using the L-Hospital rule,…

Q: What is asymptots and how we will solve asymptots?

A: Asymptotes are the lines that curves approaches, as it tends towards infinity. There are different…

Q: find its limit.

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

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Q: Estimate the horizontal asymptote of the function   by graphing f  for -10  ≤x ≤ 10. Then calculate…

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Q: tion 1. Find the rule of the piecewise function

A: 1. From the graph given , the piecewise distribution of the function is as follows ,  fx=x+1 ,…

Q: What is Oblique Asymptotes?

A: Oblique Asymptotes also known as the Slant Asymptotes. It is represented along a line y=mx+b, where…

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

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Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A: We have to evaluate the following limit: limx→2x-2ln3x-5 The above limit is in 00 form. Therefore we…

Q: Find the Limit (sin3x)/(5x^3-4x)

A: Obtain the limit value as follows.

Q: The graph of. y - tanx has vertical asymptotes at certain values of x because the tangent ratio is…

A: We need to answer the following. Graph of y = tan x:

Q: 4x + x-1 lim 3x- x²

A: Here we have to find limit of the given function.

Q: Use a tble of functional values to evaluate: lim 2²–1| x-1

A: Given, We will calculate the value at some points and then will calculate the limit of given…

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

A: find limit for

Q: 2- -2 -2

A: Asymptote : An asymptote is a line that a curve approaches, as it heads towards infinity.   The…

Q: Evaluate the limit as x approaches infinity of (x2 - ln(3/x)) / 4x2+6x

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

A: The limit of a function at a variable is equal to the value of the function when the value of the…

Q: find the limt for

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Q: First image is: Is that function diverges or converges? Second image is: Is that function diverges…

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Q: correspondig limit x' +x -8x-12 a) lím x* +4x' +5x + 4x +4

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Q: 3) lim (x² + 1) X--1

A: Limit is a basic concept of calculus  which shows the behaviour of a function  when it tends to that…

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

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Q: limit as x approaches 0+ (in the positive direction) of the function (sqrtx)^x

A: Given, f(x)= (sqrt x)^x= xx/2 = eln(x^(x/2)) = e(xln(x))/2

Q: Create a table of value (use 8 values - 4 on the left and 4 on the right) and a calculator to the…

A: Given problem:- Evaluate limx→610-x-4x+6by using 8 values table 4 left and 4 right

Q: 6x +55 –5 lim X +5 x+ -5

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Q: Does not have any horizontal asymptotes

A: Function which does not have any Horizontal asymptotes

Q: Find  lim x+8/x-1 as x approaches -2 approaches

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

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Q: Sketch the graph for this function

A: In this question. we draw the graph by using the calculus method i.e. by finding intercepts,…

Q: Find the limits. If you use L'Hopitals Rule, make sure to justify why you can use it. 1- cos(2r) lim

A: To find the limit- limx→01-cos(2x)x2

Q: Find the limit. x-x lim x→11- Vx х-х* lim x→11- Vx (Type an integer or a simplified fraction.)

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Q: Analyze the function. +Cx)= Domain: Range: Equation of Asymptote: Intervals on which f(x) is:…

A: As this is a multiple subpart question, according to the Bartleby answering rule, only first three…

Q: 2. Find the imit lifany) メー5 X-25 lim X25

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Q: х2-2х-3 d) lim lim-3 х2-5х+6

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Q: Calculate limit of (square root of x^2+x+1)-x as x approach to positive infinity. Thank you!

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Q: horizontial

A: To find horizontal asymptotes:   If the degree (the largest exponent) of the denominator is bigger…

Q: limit as x approaches infinity of (-1)x+1

A: Apply the limit.

Q: (х — 2)(г + 2)( +1) (х + 3)(ӕ + 1)

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Q: Find the limit of  limitx->0[(4-sqrt(16+x))/x]

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Q: Find the asymptotes, intervals of increase, decrease, concave upward, concave downward, local max,…

A: f(x)=x+1-xf'(x)=1-121-xfor increasing ,f'(x)≥0⇒1-121-x≥0⇒121-x≤1⇒1-x≥12⇒1-x≥14⇒x≤34intervals for…

Q: Estimate lim 16 4 is approaching to using a table of functional values.

A: We will use the L. Hopital's rule to find the limit of the given function. to find limx→ 4(16x-4x-4)