37-42 - Does the Limit Exist? Find the limit, if it exists. If the limit does not exist, explain why. |x + 4|| 37. lim |x + 4|| 38. lim -4 x+ 4 --4 x- 2|| х — 2x - 3x 39. lim 2 x- 2 40. lim 15 2x 3 41. lim 42. lim

Q: |2x–1|-|2x+1| f (x) = (a) Find the domain and the range of f. (b) Does the limit lim 20 f (x)…

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Q: (a) Use a graph of 5 + x - V5 - V5 f(x) : %D to estimate the value of lim f(x) to two decimal…

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Q: Consider the limits. lim f(x) = 4 x-7 lim g(x) = -14 x-7 Evaluate the limit using the limit law for…

A: limx→7fx=4limx→7gx=-14To find:limx→73fx+xgx+1

Q: x-1 1. Determine the limit of- x2. 32-1 /x² as x approaches 1

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Q: x-5 lim x+5 x2- 25 Find the limit

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Q: 3. Find the limit, if it exists. If the limit does not exist, explain why. These limits must be…

A: Both A and B is solved.

Q: x2-4 lim %3D 3. Find the limit (if it exists). X2 x-2

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Q: Evaluate the limit. 1 11 lim x+4 4 x2 +3x- 28 Give your answer in exact form. If the limit does not…

A: The value of the given limit is 1/11

Q: Evaluate the limit. 12 lim x-5 x2 + 2x – 35 5 Give your answer in exact form. If the limit does not…

A: topic - limits

Q: D. Limits to lnfinity and Infinite Limits 46. lim- 2x-3 47. lim -4 3x-5x +7 8+2x-5x' 48. lim x-2 49.…

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Q: Question 3. Calculating Limits Using the Limit Laws Find the limit, if it exists. If the limit does…

A: Sol

Q: Question For the function (1-z if z 1' evaluate the limit lim f(x). (If a limit does not exist,…

A: solution:-f(x)=1-x ,       if x≤1-x2+x ,   if x>1left hand side limit at…

Q: 19-22 Guess the value of the limit (if it exists) by evaluating the function at the given numbers…

A: We have limx→2x2-2xx2-x-2 Now, the function is fx=x2-2xx2-x-2 Now, we find the value of the function…

Q: x2-25 Find the limit or say is does not exist (show supporting work): lim X-5 3x-15

A: Given, limx→5x2 -253x-15   We have to find the limit

Q: 10 -10 At what values of x does ƒ (x) has an infinite limit (as x approaches this value)? Write down…

A: Given: To find at what value of x does f(x) has an infinite limit.

Q: 9-20 - Finding Limits Evaluate the limit, if it exists. Use the Limit Laws when possible. x + 1 9.…

A: Given: 9.  limx→2x+1x-3 10.limt→1t3-3t+6 11. limx→3x2+x-12x-3

Q: x-1 Question Nol: Evaluate the limit limx-1 Vx+8-3

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Q: 1. Find the limit or show that it does not exist (if it is Infinity, then show Infinity) x² – x -…

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Q: 3. Limit Theorem (s). (a) lim (3x + 2x² – x + 1) Evaluate the limit and justify each step

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

Q: Evaluate the limit based on the limit theorems. Give your step by step solution. 1. lim 3x(x+5)= x➪4

A: Given: Let y=limx→43xx+5 To Find: To evaluate the given limit.

Q: 100-z Determine the value of lim (- z→100' VE-10 –10 Select the correct answer below: O - 20 O -10 O…

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Q: lim f(x) x-1- O-2 4 O The limit does not exist.

A: Given that  Lt(x tends to 1) f(x)

Q: 2-3x+2 X-1 · Evaluate the limit, if it exists: lim O A) -1 O B) 1 O C) o D) does not exist

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Q: (-7+h) - 49 Evaluate the limit: lim

A: Given: limh→0-7+h2-49h Solution: Simplify, ⇒limh→0h2+49-14h-49h=limh→0h2-14hh ⇒limh→0hh-14h

Q: Find the limit. 1 1 - W lim W-3 W 3 1 W lim W-3 (Type an integer or a simplified fraction.)

A: Solution: The objective is to find the value of the limit

Q: X-1 Use a table to evaluate the limit, if it exists: lim x-2* 10 -10 does not exist

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Q: "rove the statement using the ɛ, & definition of a limit. lim x2 = 0 Siven e > 0, we need 8…

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Q: Question: Prove that the limit does not exist. -2|3x| lim 3x

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Q: Directions: apply the limit theorem 3 1. lim x-24 2. lim-45 x-2 62 3. lim x 2 3 4. lim x x-2 5. lim…

A: Please refer to the image below

Q: estion 11 Find the limit, if it exists. х-16 lim x-16 x -4 х-16 х-16 Solution: lim X-16 Vx -4 lim…

A: Here we calculate the limit.

Q: 7. Find the one-sided limit, if it exists. x-9 lim x+6 x+6- O -15 - 4 O -6 O 9 O The limit does not…

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Q: 1. Determine the value for the number "a" so that lim x-2 3x² + ax + a +3 x²+x-6 will exist. Also…

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Q: y Prove that the limit does not exist. EXAMPLE 8 lim Ix - 3| х > з х-— 3 SOLUTION ]x – 3| lim lim X-…

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Q: 8-47 Find the limit lim 9.

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Q: Find the number a such that the limit exists. 4x2 + ax +а+ 12 lim X→-2 x2 + x – 2 a = Find the value…

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Q: Evaluate the limit. y- 9xy lim (х.у) -(- 5, -45) у- 9х ..... y - 9xy Find an expression that is…

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Q: Evaluate the limit. 10 lim x2 +8x-9 Give your answer in exact form. If the limit does not exist,…

A: Topic-limit

Q: x2 + 2x- 24 Evaluate the limit: lim x4 x -4

A: Let L=limx→4x2+2x-24x-4

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

A: L'Hopital's Rule- If given to evaluate limx→afxgx and if limx→afx=0 and limx→agx=0 or limx→afx=±∞…

Q: 2- 36 if x0 X-6 x-6 a) Select the correct choice below and, if necessary, fill in the answer box to…

A: *The given function f(x) is,   f(x)=x2-36x+6if x<0x2-36x-6if x>0 a) The value of the limit at…

Q: 19-22 Guess the value of the limit (if it exists) by evaluating the function at the given numbers…

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Q: (e) None of the Above 9. exists, find its value. Use the properties of limits to help decide whether…

A: In this question given that :

Q: Consider the limits. lim f(x) = 4 x-7 %3D lim g(x) = -18 Evaluate the limit using the limit law for…

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Q: 2x - 5x Use l'Hôpital's Rule to evaluate lim Then determine the limit using limit laws and commonly…

A: The explanation of the solution is :

Q: 9. lim x→1 х — 1 x2 + 7x Give your answer in exact form. If the limit does not exist, enter DNE. 1 9…

A: Solve the following

Q: x2 +5x + 6 lim x - 1 x2 +5x-6 lim x→1 X-1 lim x→-1 (x + 1)² 21 x→1 4. the If the limit does not…

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Q: Use the limit laws to evaluate the limit. x+14 lim X→-14 196-X Select the correct choice below and,…

A: Let,L=limx→-14x+14196-x2L=limx→-14x+14142-x2L=limx→-14x+14(14+x)(14-x)L=limx→-141(14-x)L=114-(-14)L=…

Q: 11-32 Evaluate the limit, if it exists. x² – 5x + 6 13. lim x→5 x – 5

A: