x-27 3.1 lim N-3 X౭-9 x²+2x+1 3.2 lim 3x+4 V1+x2 3.3 lim

Q: . lim (x* – 2x³)* 2. lim (3x³ + 4x² – 3) x-1 X-3 inal nswer: Final Answer: 3x2 + 2x – 1 (x + 4)? lim…

A: 1. Given the limit: limx→-1x4-2x34 Here the limit value is defined when x approaches -1. Find the…

Q: y-y-6 (9) Lim y-2 y-4 Vx -3 (10) Lim x→9 1 1 х 9 X Vx²+3-16-11x-x (11) Lim x-1

A: As no particular question is asked, so I am solving first three If the limit function is of the form…

Q: Find the limits in Exercise

A: (a) Given that, limx→-2+x2-12x+4

Q: x + 2 (16. lim x→-3- x + 3 18. lim cot x x? – 2x 20. lim .2 x→2- x² 4х + 4 Зх + 5 22) lim x→0 x – 4…

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Q: X -2х+5 lim X→+0 7x° +x+1 a.

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Q: 2 -2 2 4 lim_f(x) = 10. lim f(x) 9. x→-3 x→3 11. lim f(x) 12. f(-3) = - x→0 13. lim f(x) = x→4- 14.…

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Q: x³ +1 .3 34 lim .3 x → 12x + 2 lim Vx + 2 x > 2 35. Answer lim 5x + 2 x → - 2 36.

A: we have to evaluate the following limits

Q: 33. lim(x + 1) = 6 x+5 w close 34. lim(1 - 3x) = -14 X5

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Q: Vx-3 4x-x? 2- Vx V+ 8-3 x + 1 29. lim 9 x- 9 30. lim X- 1 i Vx + 3 - 2 V + 12-4 31. lim 32. lim x +…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 9. lim 4-h 3h-4h 10. lim h-h' Jx-3 11. lim

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

Q: lim r+1 Number z-1 x2 –1

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Q: 5. lim 16. lim 0 V3h + 1+1 0 Vsh + 4 + 2 3h + 1- V Sh + 4 - 2 7. lim 18. lim

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Q: x² - 4 3 X-2 x³ -x-6 1. Lim 1 X-0 X 2. Lim sin x

A: We have to find the limit of the given function. Here we use L hospital rule .

Q: lim -5 -1 X→2 lim (s – 1)(s + 7) -2 s→-7

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Q: lim (2e3x+5)

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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

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Q: x² – 9 16. lim x - - 3- x +3 (4 + h)² – 16 18. lim h→0 sin²x 20. lim htan³x 4

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Q: 1. 2. 3. () ) lim lim 2 tan lim (x²–16) x+2 - x →4 4-x х -3 х-2

A: Note : According to our answering guidelines we have to solve only 3 sub parts (if multiple subparts…

Q: x + 3x 10 x + 5 2+1-2 2-1 x - 7x + 10 x - 2 ? + 3t + 2 -1- 2 21. lim 22. lim 23. lim 24. lim

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three…

Q: sin(2Tx) lim x → 6 x² – 36 -0.3333 T O 0.1667 ↑ O -0.1667 T O 0.3333 T

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Q: 7. lim x + 3 8. lim S x- 7 x+ 6 9. lim y + 2 10. lim y2 y + 5y + 6 12. lim (x + 3)1984 1. lim 3(2x -…

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Q: 1 c) lim x+0 \ex-1 X.

A: the given expression is: limx→01ex-1-1x…

Q: tan3x 6. lim X-0 tan4x

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Rewrite the following as one-sided limits and evaluate.

A: (a) limx→∞3-12x34x3+3x+1=limx→∞3x3-124+3x2+1x3=0-124+0+0=-124=-3 Hence the answer.

Q: lim x-0 2 – Vx + 4 32х lim x-00 3 - 8x

A: Consider the limits,

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: り Lar Po-S 2x45 fo) =S 2x45 XくO 3-5x 1+4X+x3 find (0) lim fox) (6) lim fa) メー→+0 X -00

A: To find the limits of the given function f(x)

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: x -9 a) lim 3 x-3 Vx - 3 b) lim x-3

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: x+ 6 1. lim x-6 (x- 6)2 2. [7-x| lim x-7 7-x

A: we have to find the value of limit. the solution is following

Q: 2-/x+1 The value of lim is the same as X- 3 X+3 1 - lim x+3 Vx+1+4 A 1 (B В lim x+3 Vx+1+4 1 c) lim…

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Q: Find each limit, if it exists.

A: Evaluate: 1. limx→∞ x2+2x3-12limx→∞ x2+2x2-13. limx→∞ x2+2x-1

Q: x² x-o ex-x-1 Evaluate lim А A) 0 B) 1 C) 2 D ∞ by applying L'Hôpital's rule.

A: find limit using L hospital rule option C correct answer

Q: x- 2 5. Evaluate lim- 1→2 Jx+2 - 2 Solution:

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Q: x + 3x - 18 O lim X-3 x-3

A: Given: limx→3x2+3x-18x-3

Q: x° – 27 lim %3D x-3 D - 27 O 18 O27

A: The given expression is limx→3x3-27x-3.

Q: x - 2 lim (x. -t0. 01 3 + xr x' - x'y+ xy-y lim (x, y-10. 0) 2x - y lim (x. yl-(0. 0) (x. -(0. 0) x…

A: The limit of a function is defined as the value of the function which is obtained when the values of…

Q: x - y 1. lim (x,y)¬(3,3) 1 2. lim x-0 xVx + 1

A: (1)  lim(x,y)→(3,3)x-yx-y=lim(x,y)→(3,3)x-yx-y×x+yx+y (We rationalize the denominator)…

Q: lim (a) x- 3 s(4) = 0 2- (b) lim 1() - 0 -2- (c) lim s() -0 %3D 4- x - 3

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Q: 1. lim g(x) = x--2- 2. lim g(x) = x→-2+ %3D 3. lim g(x) = x→-2 4. g(-2) =

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Q: x-1 5. lim n0 x+1 f(x) f(x) -1 1 -0.8 -0.35 0.75 0.45 -0.1 0.2 0.09 -0.9 -0.0003 -0.000001 0.0003…

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Q: (2? + 10) /ª. Find lim 1/3 I+ -3 1/3 lim Z + -3 g(?² + 16)/ .

A: find the limit

Q: 3n³ + 2n² + 1 n→∞ 1+n-2n³ " (a) lim (b) lim x→1 x² + √√√x-2 1 - ln x

A: Topic = Limits

Q: x+ 3 20. lim x-3 x + 4x +3 x²-7x + 10 22. lim x2 x-2 ? + 3t + 2 24. lim 7-1-2 Sy + 8y2 26. lim y0 3y…

A: Note: according to our guidelines we can answer only first question because there are multiple…

Q: 1. lim(x + 1)(3.x2 – 9) x→2 3t-14 2. lim t+1 t→4 |x| x→0+ 3. lim

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Q: lim) X+7 9 lim (2th) 2_2? h-70 lim coS X X-70 lim 4-x2 X-> 2 3-TxZ+5

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Q: x'-16 25. lim * r-8 -4 26. lim 27. lim x-2 xr-4

A: In this question we have to just find limits.

Q: 3x-2 lim 00 has 2x+1 O value 3/2 no value O value -2 O value 1

A: We have to find the limit: limx→∞3x-22x+1 This is ∞∞ indeterminate form. Simplifying the limit to…

Q: 6.lim 2+x-VZ

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.