Given the following piecewise function, evaluate lim f(x). x→2 -x² - 2x - 2x² - 1 f(x) = -2x² - 3x + 2 if if x < -6 -6 < x < 2 if x > 2

Q: 11. If f(x)=Vx f(x)-f(4)| The lim x→4 х-4

A: Given: fx=x To Find:  limx→4fx-f4x-4=?

Q: Evaluate the following limits. If needed, enter inf for and -inf for -0. lim (-33x² +21x³) = A/ 818…

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Q: lim,-10 f(x) a. b. lim, ,-2+ f(x) 2 c. lim,-s f(x) d. lim,46 f(x)

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Q: 8x² - 4x + 9. Suppose f(x) = Evaluate: lim f(x) x→-2 =

A: We have to evaluate the limit of f(x) as x tends to -2

Q: B. Factoring method 1. Lim x-3/x2-18x+45; x= 3 2. Lim x2-64/x+8 ;x= -8 3. Lim x2+8x+16 ;x-1

A: There is the solution.........

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

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Q: Use the given graph to: + + + -4, -3 -2 4 3 0 1 2 3 4 X Find lim f(x). X→

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Q: -5 -4 Ef +3 graph below is the function f (x) -3-2 -3) = lim f(x) = -3- f(x) = f(x)= 5 4 3- 2 +…

A: Explanation of the answer is as follows

Q: Consider the function defined as follows: f(x) = 7x² - 9. f(x+h)-f(x) h Find the limit of O 14x 2x+h…

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Q: Jse the graph of the function f(x) to answer each question. a. f(0) b. f(2) c. f(3) d. lim f(x) e.…

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Q: Use the graph of the function f shown below to respond to each prompt. The first prompt is worth 3…

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Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A: Given graph is

Q: 2. Find the limit of the following functions a. lim (-3x² + 5x – 4) x-18

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Q: Determine the right- and left-sided limits of the following function: lim x-3- (x + 1) lim x-3+x - 3

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Q: Given the following piecewise function, evaluate lim f(x). x 17 -2x² - 2x f(x) 3x - 2 x² + 3 = if if…

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Q: For the function shown below, determine the following: a. limf(x) b. limf(x) ズーラ2 c. lim f(x) d.…

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Q: 2 lim_x(x²) +0+x

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Q: Suppose that f is a function such that lim-[f(x) - 2x²]= π. Determine, if possible, lim 118 x² +1'

A: Suppose that f is a function such that, limx→∞fx-2x2=π.  To determine, limx→∞ fxx2+1, if possible.

Q: Use the graph to find the following limits and function value. a. lim f(x) x-3" b. lim f(x) x-3* c.…

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