Find the limits of the following if they exist. 8x 1. lim x→+o 5x-7 x3+27 2. lim x--00 x7-128 x*+81 3. lim x→-o x3-27 x5+125 4. lim x→+0 x²-81 x³+2x²+x+27 5. lim X+00 x2-4 168 6. lim X→+0 x8 x² +125 7. lim x→-0 x4-81 x² +x+27 8. lim x→+o x²+2x+1 x+125 9. lim X→ーo x2-144 x²+15x+8 10. lim x→+o x²+7x+12

Q: Determine the following limits using the table of values 1. lim 1. X→ー-1 X+1 2. lim - x-0 2x2 3. lim…

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Q: Find the following limits if they exist. 1. 2 8x 4x+1 lim x0 x-7 2 lim x0 5x-7 X +2 x +x+ 27 lim 2…

A: It is known that limy→∞ay=0, where a is a constant. The limit: limx→∞P(x)Q(x) exists, if the degree…

Q: 2. Use the definition of the appropriate limit to show (a) lim→∞(2x² + 4x – 1)/(3x³+ 1) = 0. (b)…

A: a) Given limx→∞2x2+4x-13x3+1

Q: 1. Find the limit of the following: х* — 11x5 + 37x* +6х3 — 297x? + 621х — 405 - lim,-3 А. x→3 x° —…

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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: Estimate the limit numerically. x² lim +14x+49 -7 x+7 O-7 Oto∞ O-1 00

A: Given limit is We will use the factorization method to evaluate the limit By using the result that…

Q: Find the limit. 1. lim┬(x→-1)⁡〖(2x^2-x-3)/(x+1)〗 2 lim┬(h→0)⁡〖(√(2+h)-√2)/h〗 3. lim┬(x→5^+…

A: According to the given information it is required to find the limit. For part (1)

Q: 3. Evaluate this limit. x + 4 lim x--4 4x + 16

A: given,

Q: Calculate the limit lim 2 / 5x-15 as x goes to 3^+

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Q: 1.) Calculate the limit: lim(2x² – 6x +1)

A: We have to find the limit of the function: limx→22x2-6x+1 Since this is determinate limit so we just…

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

A: Given :   limx-->  ( x-4)/( x2-3x-4)

Q: Evaluate the following limits based on limit theorems. Show your solution. 1. lim 15x = x➪-4 2. lim…

A: These questions are taken from the limits in which we have to find the limits of the given question.…

Q: Find the indicated limit if it exists. 3-Vx+7 a) lim 2-x X-2

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Q: Compute the indicated limit. 5x2 – 5x – 3 lim x00 4x – 2x? – 7

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Q: Find the following limits if they exist. 1. 2 3. lim x→+0 5x – 7 8x 4x +1 lim X +2 +x + 27 lim -7 2…

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Q: Evaluate the following limits. 1. lim (2x+1) A. 2. lim(2x – 3) xー2 x-2 3. lim (2x – 6) 4. lim (x– 2)…

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Q: Calculate the following limits x2+4x-12 а) lim x-2 b) lim Vx +1 In(x+ 1) |x-21 X→ー1

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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: 10. Evaluate the limit: -3x -9 x +3 lim x--3+ \x2 +x- 6 x-2/

A: Given: L=limx→-3+-3x-9x2+x-6+x+3x-2 We know that  limx→afx+gx=limx→afx+limx→agx…

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

A: Given

Q: 1- Evaluate the following limits, if they exist. If they do not exist, state why. a- Lim 4 c- lim…

A: See the details solution in below

Q: 14. Find the following limit x +4x+3 lim 2 x-3 x +2x- 3

A: Ans-1/2, and the detailed solution I have uploaded in handwritten....hope you will get it...thanks

Q: 1. Evaluate the following limits. 3x + 10 – 4 (a) lim 2--2- r2 – 4x + 4

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Q: 3. Find the limit of +2x+3 lim X-2 V x+5

A: As per Bartleby guidelines, we will solve only first question To find the limit of limx→2x2+2x+3x2+5

Q: 2. Compute the following limits: (a) lim -x+ 7x + 3 (b) lim -x* + 7x +3 3 + 7x + 3 (c) lim

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Q: Find the limit. x2 - 8x + 15 x3 - 9x lim - 00 O 15 Does not exist 8

A: First factor the denominator and use limit of two sided limit approach,

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: Evaluate the following limits 2x2 – 3x + 2 1) lim x-3 2x3 - 3x + 1 z2 – 25 2) lim z--5 z+5 x² – 3x –…

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Q: 3. Find the following limits: x2 +5x +6 (a) lim x-3 x2 + 4x + 3 Vx2 + 5x +7 (b) lim 5 – 2x (c) lim…

A: As per our guidelines, we can not solve  more than 3 subparts so please repost  the remaining  part…

Q: (1) Find the following limit: x2 – 5x+6 - (a) lim x-2 x2 +x-6 ex +e-x - 2 (b) lim x2 In(x) (c) lim X…

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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: Determine the limit of the following 1.3) lim x--> 0 ( 1/x (1/3 - 1 / sqrt x + 9)) 1.4) lim…

A: limx→01x13-1x+9

Q: Compute the following limits exactly. 5* -7x +11 (a) lim x3+3x-4 X2 X TIX (b) lim 13sin(-A)-/24x +17…

A: Consider the limits a)limx→25x−7x+11x3+3x−4b)limx→613sinπx4−24x+17

Q: 1. Find the limit of the following: ** - 11х* +37х* +6х' - 297х +621x - 405 x* - 11x* +47х* -114х* +…

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Q: Calculate the limit algebraically. x² – 12x +35 lim x2 - 5x →5 O -0.4 O-2 -2.4 O 10

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Q: Compute the indicated limit. „2 x + 3 lim x00 x - 4

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Q: Evaluate the following limits, 4- 3y2 – y y-2 6 - y - y? 3 - 7x2 + 14x -8 5. lim 12 -1 2. lim t=2 12…

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: Find the limit. lim x--> infinity  e3x+5/4e3x+ex-7

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Q: Compute the limit as xà3 of f(x)= (x^2-5x+5)/(x-1), if possible.

A: We need to find the limit of f(x) as x at 3AndHeref(x)=x2-5x+5x-1

Q: Evaluate the following limits x2+3x-10 lím 1. x+2 x2-8x+15 x-2 lim x+3 2-36 2. x-3 3. lim X+6 x+6…

A: 1.) The given limit is: limx→2x2+3x-10x-2.…

Q: x²-4x-5 B. lim ズ→5 ズー5

A: first of all factor the numerator, then apply the limits

Q: Q5:- Evaluate the following limits x²+8-3 1. lim X→-1 x+1 x+3 2. lim x→-3 x2+4x+3

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Q: Estimate the value of the limit lim4 -64 by filling out this table and the x-4 making an educated…

A: Every function has a limiting value when the variable moves toward a point. The distance between the…

Q: Find the following limits. x²+3x-4 x -16 1. lim 2. lim X-1 X-1 x+2

A: Apply the limit to the given expression and if it results in 0/0 form then take the derivative of…

Q: Find the limit, if it exists. Vx6 - 1 lim x5 - 1 X--0

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Q: Compute the limit as xà1 of f(x)=(x^2-5x+4)/(x-1), if possible

A: Topic - limits

Q: B. Evaluate the limits of the following: 1. lim Vx2 – 4 x→2+ 2. lim Jx(5 – x) X→5- 4x 3. lim…

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Q: 4. What is the limit of lim In x2 X-0- 5- 4 3- 2 1 2 4 6 7 8 9 10 -2 -3 -4 -5 5. 3.

A: Given: The graph of function fx=lnx, To find: limx→0+lnx.

Q: x +1 lim а—1 х2 — 1 x-

A: