Lim x---> infonity positive 4x^3+x^3-1÷2x^3+5×-1

Q: Lim (x->infinity) (Sqrt (9x^4 + 6))/(4+3x-x^2))

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Q: lim x-->-1, lim x-->-1+, lim x-->-1-,

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Q: lim 3/2 8 x→ 4 x -- 4

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Q: lim tangx X->즐 (쫄-x n2.

A: Given: limx→π2tan2xπ2-x 00 form If limx→afxg(x) is of the form 00, then we use L'Hospital's rule.…

Q: Find the limit.

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Q: 2. lim (x - Inx)* x)² 2-0+

A: Here, the given limit is: limx→0+(x-ln x)x which is (-∞)0 form.

Q: lim x approaches 2 (-x^2 + 5x - 2)

A: Given, limx→2-x2+5x-2 To solve the above limit.

Q: 1. limx→1 x-/2-x2 x4+3x3–13x²-27x+36 2. limx-1 x²+3x-4 3. lim,1- V1 – x 3x3-x²+1 lim

A: In this question we will use basic of calculus I.e concept of limits. Solution of the above question…

Q: lim x approaches 1/2 .............. 4x(3x + 4)^2

A: Consider f(x)=4x3x+42=4x9x2+24x+16=36x3+96x2+64 As f(x) is a polynomial, it's continuous on ℝ,…

Q: \lim_(x->-\infty )((13x-2)/(x^(3)+14x-4))

A: Divide the numerator and the denominator by x3.…

Q: VE -1 lim エ→1 エー1 = 1/2

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Q: lim x approaches 2 .............. 2x + 5/[11 - x^3]

A: here we have to find the limit.  A=limx→22x+511-x3

Q: (ii) Limx→∞ ((x − 3)^2)/(x^2/2)− 2x − 3

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Q: 1. lim(2x – 5) x+4 2. lim(3x + 8) x-1 3. lim *+1 X-2 x-5

A: Disclaimer: Since you have posted multiple question, we will be solving first three. In case you…

Q: lim 3x/x+1 = 3 x--> infinity, ε = 0.5, find smallest N > 0

A: Answer

Q: x+5 lim x→2 x´ – 4 x+5 lim x→2* x? – 4 x+5 lim 2 x→2 x² - 4

A: The given limits,limx→2-x+5x2-4limx→2+x+5x2-4limx→2x+5x2-4

Q: |x + 2| lim (x + 3) I--2 x + 2

A: The direction in which the variable x goes helps to find the limit of the given function. If there…

Q: lim X--->0  3X(1 + cot^2 5X)

A: Given function: 3x(1+cot^2(5x)) Limit is evaluated.

Q: (i) Limx→∞5x−3 − 42x−2 + 9= (ii) Limx→∞(x − 3)2 x 22− 2x − 3=

A: (i) Consider the given limit as limx→∞5x-3-42x-2+9. Evaluate the above limit as follows:…

Q: lim 1/x^2 - 1 = infinity x--> 1+, M = 1000, find largest δ > 0

A: Use the definition of limit

Q: Lim 1- Cosx て X-)0

A: Given: L=limx→01-cosxsin2x We know that 1-cos2x=2sin2x…

Q: 1. lim (3x + 2) X--3 2. lim(1-x2) -2x2+ 4) X-1 3. lim(3x

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Q: 2x2 – 12x 1. lim 1-6 r2 +x - 42 3- V25- 2 2. lim 1--4 r+4 3. lim

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Q: 1. lim x-> -7 f(x)=    2. lim x-> -3 f(x) =  3. lim x->-2- f(x)=

A: Note : As per the authoring guidelines,when multiple subparts are in one question,then only first…

Q: lim x-x 10 √x + (Inx)¹0 +5 3√x + (lnx) ¹00 + 10

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Q: 2) Lim Lim / 9x +! オー→。 20- Xー1 Lim Vitx-l 父 ->6

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Q: lim x approaches 2  .......... [x2 - 7x + 10]/[ x - 2]

A: Given :                     limx→2 x2 - 7x + 10x-2

Q: 1. lim 2.lim 25x (cotx)(csc5x) 3x

A: 1. limx→04+x2-4-x23x22. limx→025x3(cotx)(csc5x2)

Q: sc 2x - cot 2x = 0 1 sec²x

A: We can find the answer as below.

Q: Find each limit, if it exists.

A: Given

Q: sin(2Tx) lim x → 3 x2 – 9 | O -0.6667 T O 0.6667 T O 0.3333 ↑ О -0.3333 п

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Q: limx→→∞ √1-x+2x+7 2 9x +5 - 3x

A: limit.

Q: lim.                          x^5 x --> - infinity

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Q: \lim_{x\rightarrow 7}\frac{x^2-5x-24}{x^2-4x-32}x→7lim​x2−4x−32x2−5x−24​

A: find out the limits of  a)limx→7 x2-5x-24x2-4x-32 b)limx→7x2-4x-32x2-5x-24

Q: 47. lim -4 3x-5x +7 8+2x-5x 2-2 48, lim 49. lim

A: we have to solve given problem;

Q: lim 4 square root x -3/x-81 x-->81

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Q: lim + 4x - - X00

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Q: Find the limit

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Q: lim 2 + 9x° (1 + x ) ( 3 + x* )

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1.) lim 5-x 2.) lim 5-x 3.) lim 5-x

A: Given query is to find indicated limit.

Q: f -3 -2 -1 -2 -3 2.

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Q: lim 3^x = 0 x--> -infinity, ε = 1/2, find smallest-magnitude N <

A: Use the definition of limit

Q: cosh x 2. Find lim. ex

A: We have to find the limit

Q: Lim tan 7X+25inX 3+X

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Q: \lim_(x->-\infty )(x^(2)+ x - 5)/(1-2x-x^(3))

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Q: (а) 5x-3 – 4 (i) Lim X-0 2x-2 + 9 (х — 3)2 (ii) Lim 7- 2x -3 2х — 3

A: to solve the limit proceed as follows…

Q: 1. limx→−1−  F(x)= 2.lim x--->-1+  F(x)= 3. limx-->-1  F(x)= 4.F(-1)=

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Q: (i) Limx→∞ 5x−3 − 4 / 2x−2 + 9 (ii) Limx→∞ (x − 3)2 / x2/2 − 2x − 3

A: We have to solve given problems:

Q: Lim x--->2 x^2+5x+6/x+2

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Q: Find each limit, if it exists.

A: (a) limx→∞ 3-2x3x3-1=limx→∞ x3x-2x3x2-1x=limx→∞ 3x-23x2-1x=0-2∞-0=0 Thus, limx→∞ 3-2x3x3-1=0.