step by step vertical aysmptote x^2+4x/x^2-16

Q: Determine the value of 6>0 for which lim (3x² – 1) = 47 x+ 4 A 6 = max{ – 4-16 -5, - 4 +/16+ 3 들) 3…

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Q: lim 3/2 8 x→ 4 x -- 4

A:

Q: 2) Lim 나-13 X+ 1 x=7x+10

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Q: А. 1. lim(7x* - x° +15x? – 11) X→-1 5x° + 6x? – 11 2. lim x--2 2x4 - 3x3 - x +16

A: Given:                                           1).limx→-1(7x4-x5+15x2-11)       To solve the given…

Q: 3√x - x - 1 lim x→1 x-1

A: To evaluate the following limitlimx→1 x3-1x-1

Q: Find the limit.

A:

Q: 5-Lim メー>0 2x+3x=7

A: The given limit is limx→∞x2-22x3+3x2-7.

Q: Find intervals where f(x) = 2x3 - 18 x is increasing or decreasing. %3D Increasing Decreasing Done

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Q: (ii) Limx→∞ ((x − 3)^2)/(x^2/2)− 2x − 3

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Q: x + 2 lim x³ + 8 x--2

A: We have to find the given limit: limx→-2x+2x3+8 Since it is 00 indeterminate form so simplifying the…

Q: Find the intervals on which ƒ is increasing and the intervals on which it is decreasing. ƒ(x) = x3 +…

A: Given: Find the increasing and decreasing interval of function. Condition for monotonic increasing,…

Q: N + 3 – 3x lim Score

A: Given data are

Q: L'Hospital limx->0 (5sinx/62x)1/x

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Q: 5x^2+y=3x+3y   Determine the implied domain of the function found in the first step. Express your…

A: Topic:- function

Q: Find area between-3.5 and 2.5 with graph..... It's urgent but be clear....

A: we have to  Find  area between-3.5 and 2.5 ​. Using z table.

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A: Givenfx=3x4−18x3+x−7

Q: Find the interval or intervals where the function is increasing and where it is decreasing.  Please…

A: A function of x is said to be increasing on an interval when the derivative function is positive on…

Q: Find the limit L.

A: limx→-2 4x+5

Q: Rightmost xvalue where f(x) =3

A: Question : Right most x value where f(x)=3

Q: y = sincz) set -2

A: From the given problem:   y=sinzsec-11+zz2   So,…

Q: (i) Limx→∞5x−3 − 42x−2 + 9= (ii) Limx→∞(x − 3)2 x 22− 2x − 3=

A: (i) Consider the given limit as limx→∞5x-3-42x-2+9. Evaluate the above limit as follows:…

Q: 3 3x+5 limx¬∞ X→∞ 6х—8

A: Given that : The limit is limx→∞3x + 56x - 83 .

Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

A: I am attaching image so that you understand each and every step.

Q: tunction is eontinuas f(x) = [2x²2x4 X-2 at 2 x = 2

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Q: 1) lim (2x² + x + 4) x--1

A: Given limit, limx→-12x2+x+4

Q: 2 lim x→5 (x – 5)6 =

A: In this question we have to find limit.

Q: 4. lim x5 – x* – 2x3 – 3x2 – 2x + 1 X--00

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Q: 3 - V11 + 4x 2x +1 1. lim

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Q: State positive and negative intervals for f(x)=-2x-5 3x+18 Positive interval: Negative intervals:

A: We are given the function f(x)=-2x-53x+18. For positive interval:…

Q: Find the limit

A: Our Aim is to find the limit of the following expression given below:-limx→3 x+6x+2-(i)

Q: 3. Find the value of eachvariable.

A:

Q: Evaluate: Express your answer in three decimal places. 3x-2 limx→8 2-8

A: limx→ 8x3-2x-8       00 formApply L'Hopital's rule,=limx→ 813x231Plug in the value x=8=13·…

Q: ar X13 lim 2x²-3 2xーナ

A:

Q: Lnx 8) lim 3 X X→∞

A: We will find the limit as following.

Q: Find all points of intersection between the graphs of the functions. 5 =x+y 7 =x +y

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Q: 5. y=2sinx (0,27)

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Q: 6) lim. x²2x X+1. -2X メ→3

A: The value of the limit is, 3/4 The detailed solution is as follows below:

Q: lue of x, if the g 5 10 is singula

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Q: Find the range of possible values for x.

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Q: Estimate of f′(3)

A: NOTE: Refresh your page if you can't see any equations. . to find the value of f'(3), we need to…

Q: lim t-→∞ 8 (1²)√42t³ + 25t¹2 + - 7t² t 7835t881t5 + 10t3

A: Given limt→∞t242t3+25t12+8t-7t278-35t8-81t5+10t3

Q: a) lim, 2x-I- 3 222 | -1 312 + 5z + 2 7x +10 b) lim,5 7?-10z + 25

A: We have to find the limit of function.

Q: Find the intervals where the function is concave up. Use interval notation for your answer. f(x) =…

A: our objective is to find the concavity.

Q: Find the points on the graph of f(x)=3x-x^3 where the tangent line is horizontal.  (Use symbolic…

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Q: (i) Limx→∞ 5x−3 − 4 / 2x−2 + 9 (ii) Limx→∞ (x − 3)2 / x2/2 − 2x − 3

A: We have to solve given problems:

Q: lim 4x45 X-D5 X+5

A: Given, limx→5 4x+5x+5

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A: GIVEN

Q: 9) lim X+ 2x² +3 2x+3

A:

Q: find the positive intervals for  x2 − 3x

A: We need to find the interval for which function is positive .

Q: x³-7x-6 lim x→→3 2x³-11x²+12x+9

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.