Find the following limits. Show your work. limit as x approaches infinity. A.) 3-7x^5/x+6 B.) limit as x approaches infinity ( radical x^2+3 - radical x^2-5) C.) limit as x approaches infinity radical x^4-6x^3-5/5x^2+4

Q: evaluate using the identity a^3 − b^3 = (a − b)(a^2 + ab + b^2)

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Q: 4x3-2x2+1 find limx→o 3x3-5

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Q: Evaluate 5x3 – 2x2 +3 lim - 8x + 4x - 1 00 A + 00 5 В 8 c) o D

A: Divide numerator and denominator by x3 and substitute the limit then simplify.

Q: E valuate Dle followneg: lim メーフ+ 7x" – 4x? + 7x - 2 J +- 3 メ 3x° -8x"+ フメー458 -x一5 x3

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Q: Q5:- Evaluate the following limits 3x4-3x2+5x-9 1. limxo 7x4+3x3

A: Solution

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Q: Evaluate the lim x + 3 2r2 – 3x + 1 5x +4

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Q: 以一 3-Va

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Q: Evaluate Lim 2* _3² X> 00 3.

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Q: 11x + 3 lim 9x2 4x + 5

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Q: Determine the coordinates of the foci of the hyperbola 9x² - 4y² - 90x + 189 = 0

A: The given equation of hyperbola          9 x^2 - 4 y^2 - 90 x + 189 = 0 ...............( 1)  First…

Q: 3メ+2) てx-ヌ)

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Q: -x2 + 5x + 14 Evaluate lim x-2 -5x2- 2x + 16 Submit an exact answer.

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Q: 6x5 + 1 lim x→00 2x5 +3x2 + 4

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Q: lim *→∞ 4+10x³ 10 2x² +8

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Q: Evaluate the limit 6x3 6x2 – 5x |- lim 7 3x 6x3 - -

A: Evaluate the limit in the following way:-

Q: Write a radical function that has a limit of 5 as x approaches 10.

A: We have to find radical function that has a limit of 5 as x approaches 10.

Q: 5x' +8x² lim x→0 3x* – 16 r? 3

A: Cancel out the common factor from numerator and denominator than put the x and calculate limit.

Q: (2x – 1) 3. lim (3x² +2x - 7)(x – 9x)

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Q: a. lim+ 2* 3x² "

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Q: Explain why lim(3x² + &x) can be evaluated by substituting x = 2.

A: Let f(x) is any function and if f(x) has no holes or asymptotes then limx→af(x)=f(a)

Q: 0.Lim ュー)×40,2 メ-2 メ→o “波 (1+x) - 1 4)Lim *キX メーフ。

A: In this question , we can find the limit .

Q: 2x - 7 lim 00 4x- 2x +1

A: Given: limx→∞2x-74x2-2x+1 Formula used: limx→∞1x=0

Q: lim 3x+9x2-4x+17 5x3-3x-14 004-2

A: limx→∞3x3+9x2-4x+175x3-3x-14

Q: ・o(. lim-0 4x+16 - 4 x

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Q: Determine the -4x+ 4x2 -9x + 8 lim 2x2 + x-3 +00 -00 0. -2

A: We have to find out

Q: x2-x-6 2) FIND limx-→3 x2-5x+6"

A: We will solve the problem

Q: If lim, 3 x2 = cr² = 9c. 9, then lim, 3 cx? True O False

A: Given limit is: limx→3x2=9 From property of limit, limx→akfx=klimx→afx Now,…

Q: ) Evaluate the fallowincx! 4x°- 6+ 7 - 2J文 + Lim 6x² + 7x6 -2 JX + 4 メ x2 メーマ-○ 3x3-8x9+ 7x - 455-飯…

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Q: Calculate limx→∞x3+3x+52x3−6x+1.

A: We have to calculatelimx→∞x3+3x+52x3-6x+1

Q: Let x² - 7x– 18 x² + 2x if x -2 Find lim (x)| Do not round the answer.

A: Lim value is 1123