[1/(x+1)]-1 The value of lim -is the same as X+0 A - lim[(x – 1)] X+0 (B) lim [(x + 1)] X+0 1 - lim X+0X+1 1 lim X+0 X+ 1 D

Q: 1) lim x-5 x² – 5x 2) lim x -5 x+6-1 x+5

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Q: 1- Find the limits: lim V - 1 メ→ x-1 а. 2x3 b. lim x- 00 3(x-2)2 2x3 c. lim x2 3(x-2)2 x+1 d. lim…

A: Consider the limits  a.limx→1x−1x−1b.limx→∞2x33x−22c.limx→22x33x−22d.limx→3x+13−x2

Q: x2 Evaluate the limit: lim 3x – 40 - - x →8 x – 8

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Q: lim (x² + 4x) 2. X→-4

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Q: 4-x V6-5x+x f(x) = 1- find the domain 2- find lim f(x), lim f(x), lim f(x) x2 x-2 x-+2

A: givenf(x)=4-x2x2-5x+6solving x2-5x+6 by factorization method=x2-2x-3x+6=x(x-2)-3(x-2)=(x-2)(x-3)and…

Q: 3- Vx Determine lim- x+4 x-9

A: Given limx→43-xx-9

Q: 1 and lim xS3' x - 3 Evaluate lim xS3" x - 3

A: To evaluate limit:   and

Q: 5. a) Explain why lim vx-3 does not exist. b) What about lim V(x 3)2 ?

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Q: 1 Find lim - and lim 1 x→-0 x

A: This question is taken from the limit in which we have to find the limit of the given question. We…

Q: 1 a. lim X-0* X

A: Given: limx→0+1x4

Q: |æ+1| Find lim x+1 x → -1 |æ+1| lim x+1 - x → -1 ||

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Q: V2x + 10 + Vx² – 5x + 10 lim - X→-1 x² + 1

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Q: 3) lim-) 1 х-1 \x-1 In x)

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Q: x² - 4x-5 x-5 x² +6x + 8 x+2 13. What is the limx-5 14. What is the limx→-2 15. What is the limx-…

A: Since you have posted a question with multiple we will solve the first question for you. To get the…

Q: 1. Find a) lim x3 3-x b) lim- x3* 3-x ,c) lim- x+3 3-x

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Vx-2 11. lim- x→4 4-x 1 12. lim 1 3 13. lim x-→2-x-2 x² –4 x-1 14. lim |2x – x² –1

A: According to bartleby rule I answered first 4 questions

Q: B. Find the limit. Зх— 1 5. lim х-1/3 9х2-1 x3- 1 6. lim х+1 х-1 Vx+5 -2 7. lim X→-1 х+1 Vx-1 4. lim…

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Q: 15. lim 0 x-2 |x-2 16. lim x-2 17. lim -2r+1

A: 15- Given- limx→0x-2x-2 To Solve- The above expression.

Q: *+1 Find lim H00 3x - 4x +5 if it exists. Find lim(1 + r), if it exists. X-4

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Q: x2 + x -6 2. Use the precise definition of a limit to prove lim2 x - 2

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Q: х3+ x2-х-1 he value of lim is the same as х- -1 х3-3x-2 X-1 lim x--1 X-2 (A x+1 B lim x--1 X+2 (c)…

A: We have to solve

Q: 1- Find the limits: lim x→I x- 1 а. 2x3 b. lim x- 00 3(x-2)2 2x3 c. lim x-2 3(x-2)2 x+1 d. lim x-3…

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Q: 3. Determine the infinite limit. x² + 3x lim x--1- x2 + 2x + 1

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Q: Determine value for c so that lim f(x) x--> 3 exists f(x)= 1/3x+c    For x3

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Q: 10* – 5* – 2* +1 (b). Evaluate lim- VI+x-V1-x (i).Evaluate lim- sin-!

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Q: Find the limit when x-> 0 lim(√x+11-√11)/x

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Q: 13. lim -0 15. lim √x+4-2 x-1 x-1

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Q: 4-VE Find the limit: lim→16 x-16

A: We need to evaluate the following limit limx→164-xx-16

Q: 13. lim X- 6 3 14. lim X-1 x+1 X-4 15. lim x-2

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Q: 7. If lim f(x) =∞, lim f(x) = 3, and lim f(x) = 0, what X-00 x1+ can you say about any horizontal…

A: If limx→∞fx=L Then,              y=L is a horizontal asymptotes of f.   Here, it is given…

Q: 22 - 3x – 10 Evaluate the limit: lim 4x + 8 Z-2

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Q: Limits

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Q: Vx+4 -3 3. Evaluatelim Show your complete solution. x-5 x-5 x-1 4. Evaluatelim Show your complete…

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Q: Find the limit. lim X-6 lim X-6 x² - 4x-12 X-6 2 X - 4x-12 X-6 = (Type an integer or a simplified…

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Q: x²-9 -,x+-3 Q.1. Let f(x)={x-3 Find the value of k for which limf(x)%3Df(-3) x->-3 k-5k+6,x=-3

A: The function: fx=x2-9x-3x≠-3k2-5k+6x=-3

Q: Find the value of a such that exists and find the limit. limx-> -1 (2x2-ax-14)/(x2 -2x-3)

A: Given, limx→-1(2x2-ax-14)(x2 -2x-3)

Q: 12-x-x 1- Prove that lim -7 %3D x-3 V6+x-3

A: our objective is to find the limit

Q: Evaluate

A: The limit of a function at a point is the value the function tends to as x tends to that point. For…

Q: 8 lim x-2+ x²-4 x→2+ X x-21

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Q: x² - 225 = 30 Give an ɛ-ô proof of lim X- 15 X→15

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Q: Find the constant c so that the limit limx->3 (x2+x+c)/(x2-5x+6) exists.

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Q: 4-V3x+1 Evaluate the limit limx→5 x²-7x+10

A: Given limitlimx→5 4-3x+1x2-7x+10

Q: 1. Find the limit. x² - 25 lim x 5 x² - 8x + 15 ૨૨

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Q: 5-Vx 4) lim x-25 x-25 5) lim 7-x ל-x ( x² – x3 if x <2 6) Given the function g(x) 15x – 14 if x 2 2…

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Q: 18 -a+1 Find the limit lim a9 2x2+3x-1

A: Given, limx→918x2-x+12x2+3x-1   To evaluate limit

Q: x7-1 lim X-1 X-1

A: Given that, limx→1x7-1x-1

Q: How do you solve question 5 and 6?

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Q: 2. Evaluate the limit: 1000 lim TC lim -7)2 (8-x)3 x→8+ x+7-

A: The left-side of the limit of a function at a point is the value of the function when the value of…

Q: How do you solve question 3 and 4?

A: Given limit is