Use tables of values to make educated guesses for each of the limits in Exercises 39–52. 39. lim (x2 + x+ 1) 40. lim (1 – 3x +x²) x+2- X3+ 1 41. lim 1+2 x2 – 4 1 42. lim x1 1- x х — 3 х — 5 43. lim x-3 (x2 – 2)(x – 3) 44. lim x+5 x2 – 25 3 45. lim X+2 4 - 2* 2x 46. lim (Зe + 1) X00 Зх + 1 1+ 2x 47. lim X-00 1- r 48. lim X00 Y -1 x+1 1 + 2x +1 1 49. lim x-0 x2 - 1 50. lim (1+ X00 51. lim sinx 52. lim sin x00

Q: 2/ Find the value of the limit: lim x/*,

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Q: 2. Use the ɛ-d definition of the limit of a function to prove that lim = 3. I-»3 T – 2

A: Let  I  be an open interval containing  c , and let  f  be a function defined on  I , except…

Q: B. Find the value of the limit. 1. lim *+1)²(x-1) x1 x³+1 x²–4 2. lim x1 x2-3x+2 x²-4 3. lim x2 x-2

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Q: In Exercises 27-42, evaluate the limit or determine that it does not exist.

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Q: lim (4.x – 3) = 9

A: The given limit,      limx→34x-3=9

Q: 1) Show that the limit doesn't exist 3x2 1) (x.y)(0,0) x2 + y² lim 2) (x.y 3) lim ysinx 4) lim

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Q: Use l’Hôpital’s rule to find the limits in Exercises . x² . 8. lim x--5 x + 5 х — 2 7. lim x→2x2 25…

A: We’ll answer the 7th question since we answer only one question at a time. Please submit a new…

Q: Find the limits in Exercises 13–24 by rewritin - 2xy + y² x - y 13. lim (x, y) (1,1) x+y 14. lim (x,…

A: The given expression is limx,y→1,1x2-2xy+y2x-y

Q: Find the limit. lim etan x x-(1/2)+

A: 0 is answer

Q: Find the limits in Exercises 55. lim x/n x 56. lim x/n x 57. lim (1 + 2x)/2 In x) 58. lim (e + x)/*

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Q: (c) Find the following limits WITHOUT using the L’Hopital's Rule. -5x2-8 lim x→+∞ 2x+3 (i) Зx+1-сos…

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 6 Use the e - d definition of a limit to prove e lim 1+2 r2 + 2 1.

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Q: 5. Evaluate the limit: Vx +1 lim x→1 4x -4

A: Limit at a point exists if left-handed and right-handed limits exist and they are equal. Left-handed…

Q: Find the limits in Exercises 37–48. 5 38. lim 37. lim x→0* 3x 3 39. lim 40. lim 3 x→3* X 2x Зх 42.…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 3].. Use € Use e – 8 definition of a limit of function to show that: 2x = 1. x→1 1 + x a) lim X- b)…

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Q: Use the e – 8 definition of the limit to prove that lim x2 – 2 = 2. %3D - x→2

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Q: 5x2 + 10x + 1 20. lim x* + x² + 1

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Q: Estimate the value of the limit lim, 4 x² + 1 by filling out this table and then making an educated…

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Q: Evaluate the limit. limx→2 e^x^2−e^4/ x^2 −2x

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Q: Find the limits in Exercise

A: Given: limθ→π4tanθ-1θ-π4

Q: 10. Use the definition of limit to show that a. lim (x² + 4x) = 12, Z-2

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Q: Determine the limit 2x z 3 lim,> 3z2 1 8x |5 O x=2/3 O x=-5/2 O x=-2/3 O None of the Above

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Q: 1. (a) Use the e - 8 definition of a limit to prove lim(7x + 3) = 38. X5 t010-1123.then fex)-LI…

A: Given,

Q: 2. Calculate the limit algebraically. x-11 lim O -1.8 03 -0.6 O 1.8

A: Given

Q: 1 Let f(x) According to the definition, 7 4x f'(x) = lim h0 (Enter the limit in reduced form) %3D

A: Givenf(x)=14x-7

Q: 9) Find the limit. lim f (z) æ – 2| ( (z) = 2- 2 Graph method

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

Q: 6. Figure out the following limits without applying L'Hopital Rule. sin(r- 4) V2r -1-1 b. lim (2²…

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Q: Estimate the value of the limit to at least 2 decimal places. 22 - 64 Let lim I→-8 -+ 10x + 16

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Q: 4 Using the e- 8 definition of limit, prove that lim I-3 3r 1 2 -

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 1. Show that the limit lim (2,y)(0,0) In(1 – a2)+ y* x² + y4 does not exist.

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Q: Can I get help step by step with this problem please?

A: Given:

Q: *.. Find the value of Limit Below x² – 10x – 25 lim x-5 x2-4x- 5 3/2 O 7/3 O 8/3 1/6 O 2/5 Google Ps…

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Q: Estimate the limit numerically for lim X4 x²-3x-4 4 3.9 3.99 3.999 4.001 4.01 4.1 X. x - 4 Lx2 - 3x…

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Q: Use numerical evidence to estimate the value of the limit to at least 2 decimal places. 22 - 7x + 6…

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Q: 1- Find the limits: Vx- 1 lim xI x-1 а. 2x3 b. lim X- o 3(x-2)2 2x3 c. lim X-2 3(x-2)2 x+1 d. lim…

A: Given: a)  limx→1x−1x−1=?b)  limx→∞2x33(x−2)2=?c)  limx→22x33(x−2)2=?d)  limx→3x+1(3−x)2=?

Q: Exercise 1 Find the indicated limits ( In x 2) lim x+1 1) lim x→0 V x x- cscx,

A: We will find the indicated limit as following.

Q: 4. Use the e - 6 definition of limit to show that lim (2: +3i) = 2 + 5i. 2+1+1

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Q: 1. Use the definition of the limit to prove the following limit. 1. lim x = 3 x→3 2. lim x +x–11=9…

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Q: Evaluate the given limits numerically and graphically: lim /x² – 36 X-6 1. 4. X-3 x2 - 9 1 lim 2 Vx2…

A: 2. The given limit is limx→21x2-4.   It is evaluated as follows: If limx→a-fx≠limx→a+fx then the…

Q: 4. Find the limit: lim X – 2 |리-2 +0

A: We have to find given limit.

Q: Find the limit. lim etan x→(3t/2)+ х

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Q: 5. Use a table of values to estimate the value of the limit. a). f(x) = lim x² -3x est –1 b). f(t) =…

A: Gg

Q: 4 Using the e – 8 definition of limit, prove that lim x→3 3x 1 1 2

A: To prove the limit of given function using the epsilon delta definition of limit which states that…

Q: Exercise 2. Find the following limits 3x +1 1-3x² 3x +1 1) lim to 2x + 5 2) lim X+ 2x +5 3) lim x-…

A: Use limit concept

Q: In Exercises 29–32, find the limit of g(x) as x approaches the indicated value. 29. lim (4g(x))'/3 =…

A: Note: Since we are authorized to answer one question at a time. And you have asked more than one…

Q: 12 Show that the following limits do not exist. 1 lim X0x (a) (x > 0), 4,

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Q: (b) Find the following limits WITHOUT using the L'Hopital’s Rule. x² –4x lim x→0- ]x| (i) 2tan?x lim…

A: (1). From the given problem: limx→0-x2-4xx

Q: Exercises (1.9) Compute the following limits 1 1 Vx 3 x3-3x-2 (1) lim- X-9 Vx-9 x2-4 (2) lim X--1…

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Q: 4] [2M] Determine whether the limit exist in R for lim xsin(1/x²), (x# 0). x→0

A: Zero

Q: Use numerical evidence to estimate the value of the limit to at least 2 decimal places. x² + 2x - 48…

A: Solution: