23. What statement is not true? f(x) = #+3 if z>0 if a ≤ 0 a. limf(x) = 3 x →0* b. limf(x) = 0 _0个x

Q: 2 2 x >1 4 2x> 2 4 x+ 2 b) f(x) = . 16 52x>4 x² + b 6 2 x > 5 1)is the above function continues at…

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Q: How does the function behave as lim x → 3- for 7/(3(x-3)(5-x))?

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Q: Q/ifituus fix) = [2014 -2x² +3 if x3 The value of (A) which makes the Function Continuous ? A A = 12…

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Q: lim(1 + 3x)²/x x→0

A: Concept if limx→0f(x) = 1    and limx→∞g(x) = ∞ then the limx→0f(x)g(x)  = elimx→0[f(x) -1][g(x)]…

Q: iv. f(0) = Preview v. lim f(x) = x→7 Preview vi. lim f(x) x→7+ Preview

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Q: 32.A point of symmetry of the function f where f(x) = a) (3,-4) b) (3,5) c) (-3,-4) d) (-3,4) 1 - +…

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Q: (-3 if z 2

A: Here is a step by step solution of the problem. We have proved discontinuity at x=2 by evaluation…

Q: (*+2x* -1) ? 5. What is f(-2) if lim, 5-3x 12 В. 6. C.- 15 D. -- А.

A: Given that: limx→-2x3+2x2-15-3x

Q: 11. Use the definition of the limit of a function to prove that lim g(x) =- 6 if %3D (16x²-9 4x +3 3…

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Q: Find the value(s) of a and b for which f is continuous at -2: 3x³ - 7x² + 7 if x -2 f(x)

A: To find the values of a and b for which f is continuous at -2.fx=3x3-7x2+7 if x<-2a+b if…

Q: What is true about the function f(x)= = a) f(x) → from above b) f(x) →2 from above c) f(x) → from…

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Q: Give the domain of f, the domain of g, and the domain of m, where m(x) = f[g(x)]. f(u) = In u;…

A: Given:  A  function  fu=ln u; gx=2x  mx=fgx To Find: Domain of f, g, m Domain is the set of all the…

Q: Where is the function f(x) = if x 0 removable discontinuity? Is it a jump discontinuity?

A: A jump discontinuity occurs when right and left limit exists but are unequal .

Q: f(x) = - 4x+5 if -1<x<2 3x-8 if 2≤x≤4 The domain of the piecewise defined function fis [-1,2]U[2,4]

A: Given a piece wise function

Q: 10. lim Ve+ 2-2

A:

Q: Suppose that f(x) is a continuous function with f( – 1) = - 8 and f(3) = 8. Determine which choice…

A: Always true

Q: 13. The interval for function -(x+5)/2<(12+3x)/4 is (- 00,-22/5) (-22/5,00 ) (- 00,-22/5] 0(-22/5,00…

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Q: Suppose (x + 5 if x -5 f(x) = find f(-5)? O 1 O -3 O 3

A: we can find the value of f(-5) . Put x=-5 in the given function f(x) .

Q: 27. Let / and g be continuous and differentiable functions, each with a domain the set of all real…

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Q: (込) 6. (d) lim x→3x-3 x² -9

A: Find the limit . Of [1/(x-3) -6/(x2-9)] when x tends to 3

Q: -4 if x1

A: The given function is: f(x)=-4        if  x&lt;-2(x+1)2-1    if  -2≤x≤1-14x+2if  x&gt;1

Q: Suppose that f(x) is a continuous function with f(4) = -8 and f(8) = 8. Determine which choice best…

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Q: Suppose that f(x) is a continuous function with f(1) = - 6 and f(5) = 6. Determine which choice best…

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Q: Which of the following is a function whose graph is continuous everywhere except at 3 and is…

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Q: The function h is defined by h(x) following statements must be true? A (В B (C) D lim h(x) x→4- lim…

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Q: ents is

A: