B. Continuity or Discontinuity. Write Continuity if the given is continuous and if Discontinuity. 1. lim f(x) = 3X + 3, X-3 2. lim g(x) = x-2 x-2 x²-4 2, 3. f(x) = {x+2₁ x < 0 2, x>0

Q: - 4x =? lim x3

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Q: x – 1 is X +2 The rang of f(x)= y = ,

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Q: Find the limit

A: We can solve this limit using direct substitution. i.e. putting the value of x =1 in the given…

Q: - Use the graph of f to determine the value of limx→4 f(x). lim f(x) = x→4 y = f(x) -4 T -3 -2 -1 8-…

A: given graph of function to find the limit.

Q: 5. Find lim f(x) f(x) 2 1 i -1 2 -2

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Q: The graph below is the function f(z) -4 -3 -2 J -2 -4- Determine which one of the following rules…

A:

Q: -4+x, x)= {=-x if x 2 3 if x 3 Evaluate the following expressions. lim f(x) = x-3 lim f(x) = x-3+…

A: f(x)=-4+x,    if x&lt;3   2-x,    if x⩾3 now I am attaching image so that you can easily understand…

Q: 4. x- 1 lim x- Vx + 5-3

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Q: (-2x + 3 if x 1 Evaluate the lim f(x) where f(x) x→1

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Q: V6 - 5x , x > -1 Determine lim x-2 wheref ( x %3D 2x2 - 5x , x < -1

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Q: 1 Let f(x) = 1, 0sx<2 -x2 + 4x- 3, x22 . Compute lim f(x).

A: Topic -limits

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: if x 3 If f (x)

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Q: [3 3. Consider f (x) =- 2х - 3 if x< 0 Find lim f(x) if x20.

A: To determine the limit of the function.

Q: Find the value of the constant k that makes the function continuous. g(x) = 2 2x-5x-25 if x 5 x-5…

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Q: 2 lim_x(x²) +0+x

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Q: Find lim f(x). Im f0) -O x-2" X--2" (2.4) (4.3)

A: solution:-left hand limitlimx→2-f(x)=0

Q: For the function f(x) shown below, determine lim f(x). f(x) = x² - 10 -3 - 2x for for +-←æ x -4

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Q: e3-6-2, if x 3 = 3. 1. Determine if f is continuous or discontinuous at x = 2 and x =

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Q: 3x+5, p) The function f(x) is defined by f(x) = • If lim f(x)exists, what is th 1- 2x+b;if x>1

A: If the limit of the function exists , then left hand limit is equal to right hand limit. therefore…

Q: (10 points) Let f be the function defined by f(x)= { Find the values of a and b such that lim f(x)…

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Q: 4x + 1 x + 5x a. lim 8x - x - 6 x ( 3x - 4) b. lim Зх + 9 3x 4x - 7 lim С.

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Q: (x-2; x3 Evaluate a. lim f (x). b. lim f(x), and c. lim f (x).

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Q: Use the definition of limit of a function to findlim x3 −3x−2. x→2 x2 −3x+2

A: Limit x tending to 2 = 9.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: If lim fx) - 7 x-1 x - 1 5, evaluate lim f(x). X-1

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Q: Evaluate  lim

A:

Q: Let f be a function defined by f (x) : S4 – x?, x + -3 1. Evaluate l1, x = -3 а. ズ→ー3+ lim f(x) b.…

A: To find out the limits.