1, 1) Consider the piecewise function g(x)=(x-2)(x-1), -= {ax = ² a) lim g(x) x-0+ 3-x, Use the definition for g to evaluate the following. Show work where appropriate. c) g(0) if x ≤ 0 if 0 < x≤ 2 if x > 2 b) lim g(x) X-0-

Q: х+4 a) Compute lim X3 (x-5)(x-3)

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Q: 2. Explain what it means to say lim f(x) does not exist. Again, be sure to explain the concepts!!

A: Given :limx→3fx does not exist

Q: f(x): = ax² + x - b, ax + b, 2ax - 7, (a) Find the values of a and b such that f is continuous on…

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Q: Example 2. Prove that lim f(r) =1 by use of Definition 3, where f is given by - 21 +2 if a 2 f(x) =…

A: Given the proof of limx→2fx=1, where fx=x2-2x+22if x≠22if x=2 Here equation (c) is, fx-1≤32x-2 Also,…

Q: Find lim f(x) if, for all x > 1, бех 19 < f(x) < - 2ex VX - 1

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Q: 2)

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Q: Given the graph of the function f below, Which of the following must be true? 3 2.

A: Graph is given

Q: Find the one-sided limit

A: Given: Find the one-sided limit limx→-3- x+3x2+x-6

Q: 11) Evaluate lim (1+ 2x)csc(x).

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Q: . The function f (x) is defined by the rule 2-36 if x + 6 f (x) x-6 25 if x = 6 (a) Calculate lim f…

A: Continuity criteria :  f ( x ) is continuous at x = a when following properties are satisfied :  1)…

Q: Use the graph of f(x) below to answer the following questions: 4 3 2 y y=f(x) 1 1

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Q: Your friend from Calc 2 says that the following statement is not true: x2-x-2/x-2 = (x+1) She is…

A: We have to answer the given questions.

Q: 2- Determine lim[ v( x-1000)+10]/x x-0

A: Given problem:-

Q: (g) lim (x- Vx +x - Vx-x (h) lim 3x²

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Q: Let f(x) be the following piece wise function f(x) = ( x ² + => if 0 1 Show lim f(x) does not exist…

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Q: (M1.4 C) Consider the two functions h(x) = %3D and k(x) 2² + 4x+4 2+x-2 Compute the lim h(x) and lim…

A: Given: The functions hx=x2+x-2x2+4x+4 and kx=x2+4x+4x2+x-2 To find: limx→-2hx and limx→-2kx

Q: Find the following (if they exist) for the function whose graph is given below:

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Q: 1) Use the graph of f below to estimate the following: m 0 -1+ % 4 a) lim f(x): x-1 b) lim f(x)= c)…

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