(1) lim t2 (2) lim x0 Vx2 +3 2x + 1 -1 x00 7 - t2 x2 1 (4) lim 3t2 n2 (6) lim x0 Vn3 + 2n 5t (3) lim xc0 (x - 5)(3 – x) -1 - t+ 2 x3 5) lim x00 2x3 – 100x2 1/2

Q: 2 -8 21. lim X3 3-x e2x-4 – 1 23. lim x+2 x2-4 25. lim X00 x2 +1 2.

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Q: x-1 2+3t+2 lim x-1 Vx+3 - 2 (ii). lim t--1 2-t-2

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Q: Finding LimitsIn Exercises 9–14, find the limit or explain why it does not exist.

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

Q: (2x – 5, x 2 0 lim h(x) = x→-4 where h(x) = x + 7, x < 0 Table 1: x -5 -4.5 -4.1 -4.01 -4.001…

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Q: Limits involving conjugates Evaluate the following limits

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

Q: 7. lim -3 x-9 x-9 (1+h)²-1² 8. lim h-0 h Final Answer: Final Answer: 9. lim -2r-15 (Зх-2)2- (х+2)2…

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

Q: x' +4 a. lim X-4 x-2 %3D x² -1 b. lim- xl x' -1 Vx - Ja lim- с. х —а

A: topic - limits

Q: Lim    4 - x2      x →2   x + 3 (b). Lim   4 - x2      x →2   x - 2 (c). Lim   1 + 8x + 6x3      x…

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Q: Limits of quotients Find the limits in Exercises 23–42.

A: 23)  Given  Here factors of denominator is x2 -25 = (x-5) (x+5)  Cancel out the (x-5) factor  Now…

Q: 4 (11) lim f(x) = X-0 (12) lim f(x): %3D |-10 -8 -6 -4 4 8 10 X +0 -2 -4

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Q: x²-1 7. lim x→4 V4x 1 1 8. lim 3 x-3 x-3

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Q: lim d. x → 2 Vx²-4x+4 lim 4-V21-x C. x → 5 х-2 x-5

A: Given that: c. limx→54-21-xx-5d. limx→2x2-4x+4x-2

Q: 1. lim 13m45 – 6m12 + 100m - 42 x2 - x-6 2. lim I-2 x2 – 2 6 - x + 3x2 3. lim 2л - 4

A: 1. limm→∞13m45-6m12+100m-422. limx→-2x2-x-6x2-23. limx→-∞6-x+3x22x-4 Note:   There are multiple…

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: Given below shown is a list of ten common errors involving algebra, trigonometry, and limits that…

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

Q: 4. x- 1 lim x- Vx + 5-3

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Q: 12. lim [(x - 5) - 3x] isHOS HOH 3O a. lim (x - 5) + lim 3x b. lim (x - 5) COR x-5- lim 3x lím 3x d.…

A: NOTE: As per our guidelines, we can only solve three subparts. If you want the answers of rest of…

Q: 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+…

A: Given that, The Function is following, f(x) = limx→2x3-8x-23 We have to find the value of given…

Q: x-5 s x2 - 25 x² + 3x- 10 x + 5 19. lim 21. lim 2 +t-2 23. lim -2r - 4 25. lim X-2 x +2r? 27. lim…

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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: 9. 1 2- 1 lim X-1 1 x2 - x2 - 2x + 1 3x + 2

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

Q: -7; x<-3 { (x + 2)3 – 6; (x- 2)2 – 5; f (x) = -3 < x < 0 %3D x 2 0 1. lim f(x) = X→-3+ 2. lim f(x)…

A: Given: f(x) :  -7  ;  x ≤ -3 (x+2)3 - 6 ;  -3 &lt; x &lt; 0 ( x -2)2 - 5 ;  x ≥ 0

Q: 1. 2. 3. 2х-2 2x +2x-4 lim x →1 2x2+7x+5 lim x→1 vx²+3 –2 lim x →-1 х-1 x+1 4. 5. 6. 16(V1+x -1) lim…

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Q: x² + x – 6 - f. lim "3 x² – 9 /x + 1 – 2 g. lim х — 3 * 3 x - 8 h. lim * 2 2 x- 2 3x2 + 5x - 2 i.…

A: Given tha

Q: f(x+2)-(3) . f'(3) = lim is 1. n-3 x-1 . f'(1) = lim f(4x+1)-(5) is 4. n-1 x-1 , f'(1) = lim…

A: Ghj

Q: -2 (a) lim h(x) X--3 (b) lim h(x) x--3+ lim h(x) x- -3 (d) h(-3) (e) lim h(x) X- 0 1 lim h(x) x- 0+…

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Q: x2 + 7x - 44 lim x-4 x u) -6x+8 x2 -4 lim xl x v) - 3x+ 2 x - 5x+ 4 lim x-1 w) x- x² -4 lim x-2 x-2…

A: By bartleby rules, only first three subparts have been answered To evaluate limx→4x2+7x-44x2-6x+8…

Q: (a) lim *²+3x 6x-18 x²-5x x2+5x+4 (b) lim x-3 x-3 (c) lim x-0 (d) lim ズ→ー4 x+4 x2-7x+6 (e) lim x+8…

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Q: 3. lim Vx+3x + 6 X-2 -1.9 -2.1 -2.01 -2.001 -2 -1.999 -1.99 fx) . lim X--2 x+3x + 6 =

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Q: x² - 36 lim X6 x+6 (a) Vx+11-4 lim (b) x-5 (c) lim- x2 2-x x +6x+9 lim (d) r+3

A:

Q: 9- 3x x ス-2 g (x)= ax + 3b 4x t b to Find A and B lim g(x) x->-2 lim 9 (x) メー>」

A: g(x)=a-3x,x&lt;-2ax+3b,-2≤x≤14x+b,x&gt;1

Q: 3x2 (x- 1) .2, (а) lim I00 5x(2x2 +1) 2 - x3 (b) lim 1o x2 - 2x + 5 | x - 2 (c) lim x→-0 x4 –2x³ +1

A: As per Bartleby guidelines rule I am answering only first three questions. Evaluate:…

Q: find the one-sided limit.

A: Definition of the limits helps to find the required limit. If there is a plus sign over the point…

Q: 3x2(x – 1) (a) lim 1→∞ 5x(2x2 + 1) 2 – x3 (b) lim 2x + 5 (c) 1→-0 x4 – 2x³ + 1 2x2 (d) lim lim r--1…

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Q: Q.1: Evaluate Vx+25 -5 х2-10х (1) lim (2) lim x-12 Vx+4 x (х+3) 2x2+3 x2-25 (3) lim (4) lim X-5 x-5…

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

Q: +64 1. lim (3x-x² + 2) = 6. lim X-3 X-4 4x+16A 2x2-x-3 x+1 2. lim 7. lim X-1 х+1

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

Q: X. lim (3x – x -3 - 2) (2x² +4x+5) K. lim x+1 2x2+2x-4 Z. lim x-1 x-1 a. lim (+3) а. N. lim – (-16)

A: We will find the limits as shown below

Q: lim x-3-j 2 x²-8-j6 2x²− x³ −3l+x −j37

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Q: x - 3 lim I-3 x - 9 x? – 2x – 8 lim x – 4 x³ – 2x? + 1 lim x³ - 1

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Q: 2. lim X3 X - 3 X +7 lim x-7 X -49 ww 4- X lim xー→4 2- 4. Vx + 2 – 2 lim- wwww 5. X - 2 I3D %3D 11…

A: (a). limx→3x2-5x+6x-3factorize the numeratorlimx→3(x-3)(x-2)x-3limx→3(x-2)Plug in the value x=33-2=1…

Q: 2- -2 (a) lim h(x) 4 (b) lim x--3* h(x) 4 (c) lim h(x) x--3 (d) -3 h(-3) (e) lim h(x) x-0 (f) lim…

A:

Q: x2-9x+20 d. lim x-4 x2-3x-4 e. lim +2)2-4 X-0 3x2-x-10 f. lim- x-2 x2+5x-14

A:

Q: 1. lim (4x – 7) 2. lim (x3- 2x² + x - 5) X-1 3. lim (x2 - x + 3)(2x – 1) X-2

A: 1. limx→04x-72. limx→1x3-2x2+x-53. limx→-2x2-x+32x-1 Note:     Multiple sub part are given, we are…

Q: 1. lim g(x) = X--1- ; lim g(x) ; lim g(x) %3D r-1+ X--1 3 2. g(-1) = 2- 1. lim g(x) = ; lim g(x) =…

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Q: (x-1)(x2-9) lim (x-3) x + 3x + 2 lim. 1-x V+8 -1 lim x+1

A: NOTE: Hi! Thank you for your question. As per the honor code, we are allowed to answer three…

Q: X - 4 (a) lim x→4 x´ -x-12 x² - 27 (b) lim .3 x² -9 (x+h)° – x² (c) lim h→0 h ||

A: Limit is the value of the expression as the independent variable approaches certain value, not…

Q: x +x+2 1. lim 2 x→3* x - 2x–3 V 2. lim x→2* x-2 x² – 4 H-4 3. lim x→4 x-4 1 4. lim x+5* x - 5 x- 2…

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Q: 2 4x -2 x> - 1 Consider: f(x) = 8x + 8 x< -1 5 x= - 1 Find lim f(x) and lim f(x) and lim f(x) + X→-1…

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Q: V4-4x+x' 18. lim x-2 19. lim 4+1-V4-t x-1 20. lim Vx+3-2 7+31 21. lim (t+2)-(1-2)

A:

Q: Find the following limits algebrically.

A: Part(a)

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.