2x+1 if x < 2 Let f(x) = x²1 if x > 2 Determine the one-sided limit lim f(x). x-2- 2

Q: lim2

A: Explained below

Q: Find the limits lim (V² + 3 + x) X -00

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Q: V1+x-1 lim

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

A: Given query is to find indicated limit

Q: 2x+12 |x+6| If f(x)=- , determine whether lim f(x) exists. 44-6

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Q: x+2 Let Sex-x5 ースくX<3 Find@lim fo lim fos X-2 X-80 X73 (im fo X-A3

A: we need to find limits so we need to check left hand limit and right hand limit if we want to check…

Q: If lim fx) -6 х+1 х— 1 – 6 10 , evaluate lim f(x).

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Q: f(2 + h) – f(2) Find lim if f(x) = x + 7. h h→0 f(2 + h) – f(2) lim | (Simplify your answer.) h h→0

A: Here I am attaching image so that you understand each and every step.

Q: V13-x - 2 4-Vx +7 Evaluate lim-

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Q: Sfsin(r – y kýyd . B. (i) Evaluate 00 sVx+1 lim (ii) Evaluate * 4Vx +3

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

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Q: x² - 4x+3 lim Find the limit: x - 8x +15.

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Q: If limx--3[x³ + f(x)] = -29, use the Rules of Limits to evaluate limx-3[36x2 + f(x)- 3x]. O a. 11 O…

A: The given limit limx→-3x3+fx=-29. We have to find the limit of limx→-336x-2+fx-3x.

Q: x-2 22. Evaluate lim x+2 Vx2-4

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Q: Evaluate limits x - 3x +2 lim X-1 2x +x-3 lim x9x +1 i, XV

A: Here we have to elevate the limit for the given questions

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: Find lim (V + 1 - Vĩ).

A: To find the limit

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

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Q: Plot the function f(x) then evaluate lim,-1- f(x) -x - 2 if r -1

A: Given, fx=-x-2       if x&lt;-12                if x=-1x3             if x&gt;-1

Q: Va-2x Let f(x) = Find lim f(x)? x+1 +x-

A: Given function :

Q: Let f(x)=2x+5. Find lim h-0 (f(a+h)-f(a)/h)

A: Topic :- limits

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

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