Consider the function below. Use it to find the following limits. (If an answer does not exist, enter DNE.) if x ≤ 4 ƒ (x) = { f( if x > 4 20x² 5 x- (a) lim f (x) 1-4- (b) lim f(x) x+4+ (c) lim f (x) #→4 (d) lim f(x)

Q: If lim I+- 00 f(x) f(x) also equals -2. 2 with f(x) and g(x) both polynomials then lim g(x) I- 00…

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Q: For the function f whose graph is given, determine the following limits. lim f(x) y 3. -6 -5 -4-3 -2…

A: Consider the graph of the function. FInd limx→2fx. limx→afx exists and is equal to fa if…

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: If g is a function such that (x+ 1)? 2 g(x) > 3(2r – 1) for all r > 0. Determine lim g(x).

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

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Q: For the function shown below, find (if the quantity exists) (A) lim f(x), (B) lim f(x), (C) lim…

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Q: If 3x - 5 ≤ f(x) ≤ x² - 3x + 4 for x ≥ 0, find lim f(x). x →3

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Q: Use the graph of the function f(x) shown below to evaluate lim f(x). x 3+ 3 2 3 O 3 O 1 O DNE 2.

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Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) f(x) =  1…

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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: (d) lim f(x X →+00

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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: (8+h)³ – 512 lim h-0 h

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Q: 3. If f (x) = (x² – 1, if x 3 3.a) lim f(x) X-3 3.b) lim f (x) 3.c) lim f (x) X-1

A: The given function is f(x)=x2-1,if x<3x+5,if x≥3

Q: Evaluate the following limits of the function: Vx - 5 f(x) = 25 – x a. lim f(x) b. lim f(x) x-25…

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Q: Use a table of values to evaluate the limits of the given function

A: Let's find.

Q: lim(-3x² – 1) x-3

A: Solution:

Q: he function f (x) shown below, determine lim f(æ). [1+ x? -4x + 7 for x1 f(x) =

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