(x+2)(x² – v²) lim (x.5)(L1) /x² – y² +1-1 (x,9)(11)

Q: Evaluate the limit of the function: lim f(x) =- /7 +x -V7

A: topic - limits

Q: Find the limits: Vx – 1 lim x→1 x - 1 а.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the limit of the following function ex (a) lim x0 e1/x+1 (b) lim f(x), where f(x) = { 3x – 2,…

A: To find the limits

Q: lim V3x² – 6 X-2

A: The given problem is,           limx→23x2-6 Here the function is continuous and defined at x=2, so…

Q: 4.x³+1 d) lim x→-o 2x3+v16x5+1

A: d) limx→-∞4x3+12x3+16x6+1limx→-∞x34+1x32x3+x616+1x6limx→-∞x34+1x32x3+x316+1x6

Q: given y= f(x)= 2^2-9x+20/x-4 Why is it not possible to apply the quotient limit theroem to find the…

A: Given function is:And the limit of x approaches 4. Hence, the limit is written as: Quotient limit…

Q: 3x + 5x – 12 Jx +1-1 e) lim f) lim X+3

A: limit values=?

Q: Find the indicated limit given that lim f(x) = 5 and lim g(x) = 2. xa lim V3f(x) + 6g(x) xa

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Q: 2. Write the equation of a function that is discontinuous at x=5, but lim f(x) exists, and is…

A:

Q: x³ - 8x* +1x lim xa -5-14

A: Dear student our policy is to answer first one only in case of multiple question kindly repost the…

Q: find the limit of g(x) as x approaches the indicated value.

A: the given expression is: limx→51x+g(x)=2

Q: Find the limit. lim x→0 x – 1

A: Given that: limx→∞5x-1

Q: V4 + x – V4 – x lim x-0 O 1/2 О 113 O 1/4 O 1/5

A: To solvelimx→0(4+x-4-xx)

Q: Find the limits of the Function 2 (x + h)² – x² lim h→0 h

A: We can solve this using the L'Hospital rule. And also from expanding equation we can solve easily.

Q: Vx-2 lim х+4 х-4

A: To evaluate: limx→4x-2x-4

Q: find the limit of g(x) as x approaches the indicated value.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the limit limit x tends to (1/2) 4x(3x+4)2

A:

Q: Determine the limit of the following functions: x² – 2xy lim (x,y)¬(2,1) x² –4y2 2х-Зу lim…

A:

Q: Find the limit of the function lim x² 3x +2 X-1 X-A

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Q: Evaluate the following limits. If needed, enter oo for o and oo for V3 + 9x2 (a) lim 5 + 6x 3+ 9x2…

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Q: Find the indicated limits of the following function: 11x3 – 4x2 – 8x - - f(x) = 10 – 10x – 8x3 - lim…

A: According to our company's guidelines I can only answer first three subparts of the question since…

Q: Use your answer to the previous question to calculate the limit and write your answer upload. In(x)…

A: The given limit is limx→1ln (x)-x+1(x-1)2 We have to find the first four terms of the Taylor series…

Q: find the limit of g(x) as x approaches the indicatedvalue.

A: Given: limx→-310-x2(g(x))1/3=0 Simplify.…

Q: Consider the piecewise function defined by Sx² + 5 f(x) 3x + 1 if x 2 2. if x < 2 Find each of the…

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Q: Find the following limits if they exist. Must show all work (analytically?): 1. lim f(x) where f(x)…

A: We will find out the limit of given function.

Q: Find lim f(x) for the given piecewise function. 2x + 1 if x 6 If the limit does not exist, enter…

A: Solution is given below:

Q: 1 Use a plot of f (x) = 4 Vx - 2 to estimate lim f(x) 4 メ→4 | numerically.

A: Given: f(x)=1x−2−4x−4Estimate:limx→4f(x)=?Graphically  and  Numericallly

Q: b) lim (1 +2x)³A * x=0

A:

Q: Q4) A) Find the following limits (for two only). x+1 1. lim x--1x²-x-2 1-Vx 2. lim x→1 1-x 2x 3. lim…

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Q: lim Sint tー 七

A: Given : limt→x2 sintt

Q: 1. Evaluate the following limits: a.) lim,-3 V13- x2 b.) lim . 4 t2 → 2 12.-5t+6

A: The solution is given below:

Q: Show that the function given below is continuous. 4v2 - 16v lim -2 v-4

A:

Q: x 00-X 9 0 = lim Evaluate the limit as x approaches infinity of

A: Any finite number upon infinity is 0. any finite number∞=0

Q: Q4) A) Find the following limits (for two only). x+1 1. lim x--1 x2-x-2 1-Vx 2. lim x-1 1-x 2x 3.…

A: 1. limx→-1 x+1x2-x-2   is of 00form, So apply L'Hospital rule limx→-1 x+1x2-x-2   =  limx→-1…

Q: find the lim as x approaches infinity when f(x)= (1-x)/2x

A:

Q: Find the limits of the functions below a) limx-3 x* sin x b) lim,

A: We can find the limit of both the question as below.

Q: Compute the limit below. Justify your answer. V2x +15 -1 lim x+-7 X+7

A:

Q: Evaluate the limits of the following functions, and verify your answer. (6x+3y)sin(2x+y) 4x +4xy+ y…

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Q: if Væ² – 5x – 6 < f(x) – 1 < v6² – x² then find lim f (x) - | - x-6

A: Given:x2 - 5x -6  ≤ f(x) -1 ≤ 62 - x2To find : limx→6f(x)

Q: Find lim at inf: (x^2 + 2x)/(x - 7) Don't use L'H

A:

Q: 2x/y lim (x,y)>(0,0) 5x² +2y

A: Let L is the value of Given Limit.

Q: If V5 - 2r s f(x) < V5 - x for -1 sxs 1, find lim, 0 f(x).

A: Given: 5-2x2≤f(x)≤5-x2

Q: Given f(x) = 5x³ + 7x + 7, write a limit representing the derivative of f(x) at x = −2. Provide your…

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Q: Find the limit of the function algebraically. x2 + 2x lim

A:

Q: Q3: Find the limit for the following functions: - Vx-2 1- lim x-4 x-4 (2x-3)(Vx-1) 2- lim x→1…

A: Apply d'hopital rule

Q: 10. Find the value of the limit or state that it does not exist c) lim f(x) = X2"

A:

Q: * :Test the following function using limits x² - 25 lim x→→5 x² + 2x - 15 B) 5/3 A) 5/4 O C) 5/2 O

A: Apply the following steps to find the value of the given limit. Factorize the expressions in the…

Q: ) Find the following limits if they exist. 1 lim x→0 x 1

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Q: 2x/y lim (x,v)(0,0) 5x* + 2y

A:

Q: Q4)A) Find the following limits (for two only). x+1 1. lim X-1x2-x-2 1-Vx 2. lim X-1 1-x 3. lim x0…

A: Find the limit for the given function . We use for calculate value of limit L' hospital rule (When…