Find lim f(x) if I-00 4x - 1 I < f(x) < 4x² + 3x T² for all x > 5.

Q: Show that lim(5x+2)=-18 x-> -4

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Q: lim2

A: Explained below

Q: х2 — 2х-15 x2 — х— 20

A: We have to evaluate the following limit: limit as x tends to 5, [(x2 - 2x - 15)/(x2 - x - 20)]

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

Q: b. Find lim (xv (xVx²+1-x²)

A:

Q: If f(x) = lim f(x) = X-4 -7 for x = 4, {2} 2x+7 for x #4 then

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

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Q: (x3 - 3x2 +6- 2x) 10. Use a table to estimate lim X-+3 X- 3

A: Given limx→3 x3-3x2+6-2xx-3-1

Q: x2 + 8x + 15 if x 2. Find lim f(x). x-2+

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Q: lim Va2 + 8x +1-x x 00

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Q: lim (2x-5x) is x--2

A:

Q: Find lim 2-0 -x-1 x²

A:

Q: Calculate lim X→-2 x³ + 2x² - 1 5 - 3x

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Q: b. Find lim (xvx²+1-x²)

A: Here, we take common x.then multiply denominator and numerator by √(x^2+1)+x

Q: If 2x - 2s f(x) S x² - 2x + 2 for x 2 0, find lim f(x) x-2

A: see below the answer

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

A:

Q: Find lim (V + 1 - Vĩ).

A: To find the limit

Q: x8 – 1 lim x-1x5 – 1

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Q: Find lim h-0 f(5+h)-f(5) h if f(x) = -2x-1.

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Q: If 3x-35f(x) < x²-3X+6 for X z0, find. lim f(x)

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Q: Evaluate lim x-0 √2x +36-6 X . Enter an exact value.

A: