Find the following limits if they exist. Must show all work (analytically?): 1. lim f(x) where f(x) = (-3x + 8 if x <-2 X-2 %3D 2x ifx >-2 2. lim 14+h) -f(4) where f(x) = x- 8x + 7 %3D

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: Calculate the following limits, if exist. 5x 4x3 lim x00 4x1– 6x- .2 -2.x x² - 4 lim X2 2r2 -1 1x +…

A: apply the limit after solving

Q: Verify the limits in a given equation below. (x+h)²-h² lim X→0

A: Verify itx→0lim(x+h)2-h2x

Q: 5. lim x-0 e2x-1

A: LetL=limx→ 0xe2x-1Plug in the value x=0L=0e2(0)-1L=01-1L=00Therefore Apply L Hospital ruleL=limx→…

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

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Q: Q4: Find the following limits if exist:-- x-1 x2-x 1) limx-1²+2x-3 2) limx-1 x²+3-2

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Q: x² – 1 lim x→1 x – 1

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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. 3x + 5 lim x→0 x - 4

A: Find the limit  limx→∞3x+5x-4

Q: ex ) 4. Use the definition of the limit to prove that lim 4x + 2 = 14. %3D x-3

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Q: Verify the limits in a given equation below. (2х-4)2 lim X→3 x+1

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Q: Find the limit: Vx – 14 lim x → 196 196 - Give an exact answer or keep at least three decimal…

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Q: Use l’Hôpital’s Rule to find the limits

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Q: Evaluate the following limits analytically: x-2 a. lim- x-1x2+x-6 10-x-4 b. lim x--6 x+6 c. lim *+13…

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Q: Lim X-0 √1+x-√1-x x

A: evaluate the limit limx→01+x-1-xx

Q: 1 3) lim (1+ 8x) x→0+

A: Find the limit

Q: Find the limit as x approaches - 2 for the function f(x) = 12x + 1. %3D lim (12x+1) = X→-2

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Q: Estimate the limit numerically. x+14x + 49 lim x+7

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Q: What is lim )-7(0) if f(x) = 2x2 + 1? x-0 The limit does not exist. 1

A: Solve for the limit

Q: Find the limit 1-ex lim x+0 10x2 – 18x

A: Here we have to use the concept of limit.

Q: Find the following limits if they exist. 1. 2 3. 8x lim x+* 5x – 7 4x +1 lim x-* x-7 2. x+2x+x+27…

A: To evaluate the given limits.

Q: Find the limit if it exists. Vx - 5 lim X х- 25 X 25

A: Find the following limit

Q: Find the limit of the function lim x → − 2 ( 2 − | x | 2 + x )

A: Topic:- calculus

Q: Evaluate the given limits numerically (using table of values) and graphically 1. lim2 X-2 x-2 f(x)

A: x 1.9 1.99 1.99 1.999 2.001 2.01 2.11 f(x) 3.9 3.99 3.999 4.001 4.01 4.1 4.11     limx→2x2-4x-2…

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: 2x-1 2. lim X-2 \3x+4,

A:

Q: Find the following limits if they exist. Must show all work (analytically?): 1. X-2 lim (x) where…

A: Given that: 1. limx→-2f(x), where f(x)=-3x2+8, if x&lt;22x,          if x&gt;-2   NOTE: As per our…

Q: Find the limit of lim((9+3x)1/2-3)/x as x approaches 0

A: To determine the value of the limit.

Q: a) lim 3x2-10x5

A: Find the limit of 3x^2-10x^5 at - infinity

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: Evaluate the following limits analytically: x-2 x-1x2+x-6 a. lim 10-x-4 b. lim X--6 x+6 c. lim *+1 3…

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Q: Find the limit. -7x + 5 lim Vx2 + x X→-0

A: Given limit, limx→-∞-7x+5x2+x

Q: lim (In 2x + 5) + 4 X→ー1

A: Solution:limx→-1ln2x+5+4=ln2-1+5+4

Q: Evaluate the following limits if they exist x +5x-3 a) lim x² + 2x – 6 x² – 3x – 1 b) lim x' +1 c)…

A: In the question we have to calculate the limit of the following functions given.

Q: Determine the following limits at infinity. 4x² + 2x + 3 lim x²

A: Consider the provided expression, limx→∞4x2+2x+3x2 Determine the limit of the expression. First, we…

Q: Find the limit. (a) lim x→3 Vx +6 – x x3 – 3x2

A:

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: lim (-2 xS t x-1)

A: From this limit, we know that when x approaches -infinity then y approaches +infinity. so, on the…

Q: Use L'Hôpital's rule to find the limit. 3x - 1 lim 3 x³ + 4

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

A:

Q: Determine the following limits at infinity. lim x-11 xS-0

A: limx→-∞x-11

Q: Let fa)=S(-5-x2 + 23x +19 f Xチー6 if X= -6 calculate the following limits. ENter DNE if the liniit…

A: l

Q: Evaluate the limit 5 + 2x lim 8 – 8x x → 0

A: We haven the function is: f(x) = (5 + 2x)/(8 - 8x)  Dividing the numerator and the denominator by x…

Q: Compute the limits. If it does not exist, state so. Vx – 2 16. lim x→4 X – 4

A: NOTE: Refresh your page if you can't see any equations. .

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

A:

Q: Find the following limits analytically or state that they do not exist. 2x+1 3. lim- x+0 x2+1

A: Given:limx→02x+1x2+1

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…

Q: find the limit if it exists at infinity lim=5x^2+7x-9/-6x^2+2

A: Given, limx→∞5x2+7x-9-6x2+2