Evaluate the following limits and give the equation for any horizontal asymptote (if there are none, state that). -2x3 2х + 3 4. lim x→x(3x+ 3x² – 5x - 2X3 - 2X 3 X3 X3 X 3 3X3 + 3X2 - SX X 3 X 3 lim - 2 y = -/3 3 +/3X x ? 4x3 + 6x² – 2 5. lim x→-00 5 – 4x + 2x2 VI + 4 6. lim

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A: Given limit is  Firstly, we will multiply both numerator and denominator by sqrt(x-3)+3

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A:

Q: Find the limit: 2x+60-8 lim x 2 x² + 3x - 10

A: Given query is to find indicated limit

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A:

Q: If 3x - 4 s f(x) sx2 - 3x + 5 for x 2 0, find lim f(x). x-3

A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

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A: To find the limit

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A:

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A:

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A:

Q: 3 lim WrZ_3K -x). x2-3X

A: The value of the limit is, - 3/2 The detailed solution is as follows below:

Q: 12. Find the horizontal and vertical asymptotes for the following: 2x-5 a. lim x--∞ 3x4-2…

A: a. limx→−∞2x−53x4−2

Q: lim x X49

A: As we know that: limx→afx=fa Given: limx→ 49x

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A:

Q: 4 is x→00 2x2-3 lim A. undefined В. 4 С. 2 D. 0 E. 1

A: To compute the following limit

Q: Find the following: x1/3 + 9x1/5 i. Lim x-0 6x1/2 – 4x1/4

A:

Q: Evaluate the limit.

A: Consider the following limit: limx→∞3x2+20x2x4+3x3-29 Divide numerator and denominator by x4:…

Q: 2x-5+4x² lim 3-5x+x²

A: To find: The limit of limx→∞2x-5+4x23-5x+x2. Given: The limit is limx→∞2x-5+4x23-5x+x2. Formula…

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Q: de 4 V4x* +3 lim 5x +4

A: Divide the Numerator and denominator of the given expression by x2

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Q: (XthP+| lim 4.

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Q: Find the following: x1/3 + 9x1/5 (2х — 1)1/2 — 3 - i. Lim 6x1/2 – 4x1/4 ii. Lim x→5+ х — 5

A:

Q: Find the following: x1/3 + 9x1/5 i. Lim х-0 6х1/2 — 4х1/4 ii. Lim х+5+ (2х — 1)1/2 — 3 х — 5

A:

Q: If 3x – 2 s f(x) sx² - 3x + 7 for x2 0, find lim f(x). x-3

A: