The value of lim x+ 2 x3 -8 is the same as x+2V x-2 A None of the given choices B lim Vx2 + 2x– 4 x+ 2 the limit does not exist (D lim Vx2 +2x + 4 x+ 2 E) X+ 2 lim V x2 – 4

Q: See pencil for correction of problem

A: First we simplify the expression (x2-2x-8)/(x+2)=(x2-4x+2x-8)/(x+2)…

Q: Evaluate the Polloung limits ad lim メ→ 0 Ilx³– 2x²~ 9 x 3 - 10x - 8 x3 ) lim メS-0 Ilx³- 2x²- 9 x –…

A: We havelimx→∞11x3−2x2−9x3−10x−8x3Multiply and divide by…

Q: Find the indicated limit. a) V3x+5-V5 lim a) b) x*+2x3-15х2 lim х-з х3+2x2-9х-18 b)

A: As per our policy we have to do only single question.  A) 3/(2√5)  B) 12/5

Q: 7. Find the limit of the following. a. lim(2x² - 4x + 7) b. lim X-5 X-4 x+2x -Sz-2x+4 c. lim x2 x-4…

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Q: Find the one-sided limits of f (x). - 2x + 7 if x < -3 f(x) x + 4 x + 3 %3D if x 2 -3 Step 2 of 2:…

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Q: _15. What is lim f(x)? X-4 A. 0 В.1 С.2 D. Does Not Exist

A: Given: Following graph is given. To Find: 15. limx→4fx=?

Q: 1. Find the limit if exists or show that the limit does not exist 3x²y² (a) lim (2,3)+(0,0) 24+4 (b)…

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Q: Find lim x^2 − 3x + 2/x^3 − 2x^2 as (a) x → 0+ (b) x → 2+ (c) x → 2−

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Evaluate the fo llowing limits lim x8 + 7x + 9x-4x² +2 Xヨ-0 x4 - 4 y5 - 3x*-6x +4 2x2-8x +7 suppose…

A: 1) To evaluate:  limx→-∞x8+7x6+9x5-4x2+2x4-4x5-3x2-6x+4 Dividing numerator and denominator by x4, we…

Q: Evaluate: lim Vx² + 4ax - Vx² +4bx) X+ 00 (a – b) O a - b 2(а - b) limit does not exist

A:

Q: Q3: A. Evaluate the limits of two of the following: V2x(x-1) 4x-x 1. limx4 2-Vx Vx2 +8-3 2-V 3.…

A: Given:(1) limx→4 4x-x22-xsolution:limx→4 4x-x22-x=limx→4 x(4-x)2-x                   =limx→4…

Q: Find the limit, if it exists. (x² – 16 if x>0 Let f(x) =x2 -16 if x<0 x- 4 Find lim f(x). x-0- 00 -4…

A:

Q: 3. Find the limits. (a) lim (x+x² + x)'01 %3D x-1 (x – 1)(x - 2) (b) lim x2- x+1 (x – 1)(x – 2) -…

A: We are solving the first three subparts and for the next subparts questions post the question again…

Q: Determine the infinite limit. a) lim -3- (x – 3)5 b) x – 1 lim 0 x(x + 2) c) x² – 2x lim a-2- x? –…

A: (a) The given limit is: limx→3-xx-35 To find the value of the limit.

Q: 4) Find each limit a) lim(x3 – 5x - 1) b) lim *_2-4 (5p) x-2 x-2 x-2 c) lim *2-,3x-9 d) lim v2x2 + 3…

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Q: (1) Evaluate the limit, if it exists. (a) x² + x - 2 lim t→1 x² - 4.x + 3 (b) x - 81 lim x→81 Vx - 9

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Q: Q3: A. Evaluate the limits of two of the following: Vx² +8-3 2- V2x(x-1) x-1| 3. lim1 4x-x 1. lim4…

A: NOTE: Refresh your page if you can't see any equations. . multiply and divide by

Q: 1- Find the limits: VI- lim X X-1 а. 2x3 b. lim x→ 00 3(x-2)2 2x3 с. lim x2 3(x-2)² x+1 d. lim X-3…

A: Given: )

Q: 3. Evaluate the limit of lim(x² + x + Vx + 1) x→3

A: A limit of a function f(x) is defined as a value, where the function reaches as the limit reaches…

Q: Please I want solution of sub-parts question 1 with step by step. Many Thanks

A:

Q: (2) Find the limit of the following: (a) lim 47 x2 -4 (c) lim x-1 1-x (b) lim (3x+11) X-4 x2 - 2x-63…

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Q: 16. Evaluate using L'Hospital's Rule. x3-216 a. lim X-6 (In x) b. lim 4x2

A: Given, Part a: limx→6x3-216x-6 If we put x=6 we get an indeterminate form, Therefore by using the…

Q: (-5-x)²+2 if x #-6 Let f(x) = 2x + 14 if x = -6 Calculate the following limits. Enter "DNE" if the…

A: Given  f(x) = -5-x2+2if  x≠-62x+14if  x=-6

Q: 22. If lim f(x) = 18 and lim g(x) = -1.5, find the lim %3D %3D x-a L4g(x). xa А. 6 -3 С. -1 D. -7 В.

A: 22) If limx→afx=18 and limx→agx=-1.5 , find the limx→afx4gx

Q: Choose the best answer for limit.

A: If we have a function f(x) and we want to find the limit of the function at x = a, that limx→a f(x).…

Q: a) Find the limits: 1- lim- X-1x-x 2- lím 0 V+4-2 5x 3- lim

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Q: b) The function g is defined by 4 x-2 x+2 Show that lim g(x) exist. X -2

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Q: 02/Use the l'Hopital's rule to find the limits in t3-4t+15 a) lim t--3 t²-t-12 X-8x² X-00 12x²+5x b)…

A: Given problem:-

Q: 9. Given that lim f(x) = 2 and lim g(x) = -5 compute the following limits: %3D (a) lim 2f(x) 3 (b)…

A:

Q: 7. Find the limit. (Let c and d represent arbitrary real numbers. If an answer does not exist, enter…

A:

Q: 4. The graph of a function f(x) is shown at right. If g(x) = V1+ 3x , find lim [f(x) + 3 g(x)]. %3D…

A: The graph of the function fx is given. From that graph it is clear that, the function fx, at x=1…

Q: Find. 1) a. lim f(x) and b. lim f(x). x-0- Find the limit, if it exists. x2 + 4 2) lim X-2 x+2 3)…

A: Here function is given and we need to find limit

Q: (A) Find the following Limits. x + 5 2. limy-3 f (x) if f(x) = }2x²+4 , x 4

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Q: 4. If lim )-/(2) 0. which of the following must be true: x--2 x-2 (a) f(2) is not defined (b) Limit…

A: Given,           limx→2fx-f2x-2=0

Q: 18. Explain why a lim √√x-3 X-73 b) lim x²-4 19.) the given x-2x²-4x+4 lim c.) fox)=√5 if x 21 22,…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 1) a) Evaluate the limit. 1 1 lim 3 x x+3 x-3

A: Introduction: The limit of a function is the base of differential calculus. When the independent…

Q: 7. Compute the limit to infinity: 4-2+3r+1 a lim 7+3r-r+ 12

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Q: b) The function g is defined by 4 x-2 x+2 Show that lim g(x) exist. x -2

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Q: 3. What is lim f(x)? lim f(x)? Why? 10+ 8. 6 4 2- -5 -4 -3 -2 -1 2 3 4 4. What is the limit of lim…

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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: 1.) Determine the limit: a) lim vx2 + 14x + 49 x-5 b) lim (x² – 4x)³ x-1

A: Solution:To solve 1a and b1.(a)limx→5x2+14x+49(b)limx→1x2-4x3

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: b) The function g is defined by 4 x-2 x+2 Show that lim g(x) exist.

A: We will calculate RHL and LHL, to show its existence.

Q: 2. (a) Evaluate the limit or show that it does not exist: x³ + y lim (z.9)¬(0,0) V2 + 12 In(x² + y°)

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Q: Find the limit, if it exists. [x2 – 16 :- 16 if x>0 Let f(x) = x - 16 x- 4 if x<0 Find lim f(x) x-0+…

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Q: Find the limit. 1. lim(-2x3 + 3x – 1) x-0 x+1 2. lim X-3x-3 If lim f (x) = 2 and lim g(x) = 6, find…

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Q: x2 + 16. x< - 16 Let f(x) = Compute the following limits or state that they do not exist. Vx + 16,…

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Q: 4. Find the limit or show that it does not exist 2xy a. lim (x.y)-(1,1) x²+2y² 2xy b. lim (xy)-(0,0)…

A: First we have to solve a. Given: lim(x,y)→(1,1) 2xyx2+2y2 First we evaluate: lim(x,y)→(1,1) 2xyx2…

Q: the limit is negative infinity enter "-INF". x2+4x-12 lim→2 x2 –4 x2 +4x–12 lim→-2 x² –4 x2 +4x–12…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Given that f(x)={kx2+2,≤22kx,x>2. If limx→2f(x) exist, then k equals.

A: