V-1- x + 2 if x < - 2 Let f(x) = 2 if x = 2 - 2x + 7 if x > -- 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x → - 2 lim f(x) = x → -2+ lim f(x) = %3D x -2

Q: lim2

A: Explained below

Q: CONSIDER THE FOLLOWING FUNCTIONS. f22x+1 AiD gca)= xー1 a) DE TERMINE jG&) =f(x)• g(x) Lim…

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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: Find the Imit for each function below P(x) Sax-275 (9x-325 0Sメ150 1504X <300 lim P(x)= %3D x 140 lim…

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Q: 6х2+1 2. Find lim X→0 V4x4+3x+1

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

A:

Q: V7x* +4x' -x² -2 lim x³ - 2x² -3x+1 4x-x²-2 x -0

A: Solution:

Q: Evaluate: * х — 5 lim х-5 Vx+4 – 3

A:

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

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Q: If f(x) = 5x – 4, then f(x) – f(-3) = 5. x +3 lim I-3 Select one: O True O False

A: Answer is true.  Using L hopital rule.

Q: x²+x-2 1. lim X-o 4x-1

A:

Q: lim x + vx - Vx = |

A: Given : To find the limit of the given functionlimx→+∞ x+x-x=?

Q: lim レ+x- %3D X. x→0 e-X+1 x -x_ a Find the limit.

A:

Q: Evaluate: lim x→-1 x² + 2x + 1

A: Limit: Limit is a mathematical concept based on the concept of proximity that is used to give values…

Q: V5x+4-3 3) lim X-1 x-1

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Q: Find Vx² + 8 – 3 lim x--1 x +1

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Q: Vx-3-V9-x 3. lim X-6

A: Solving the problem by finding the limit of th3 function.

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

A:

Q: x*+x3 2. Calculate lim x→0 12x3+128

A: limx→∞x4+x312x3+128

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: 2x a. lim x-+3" X - 3

A: limit

Q: 3x(x - : lim Tx - 1| X1+

A: Replace the value of the limit and x.