Use the equation f ′(a) = lim x→a  f(x) − f(a) x − ato find f ′(a) at the given number a. f(x) =  x2 x + 56,    a = 8

Q: x3-3 3. Find lim f(x), . f(x) = %3D 3x3

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Q: Evaluate lim h→0 1 2 3(x+h) ² h 1 3x²

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

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Q: The function f is given by f(x) = 0.12 -0.52³ -3.3x² +7.72-1.99. For how many positive values of b…

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Q: -5x + 7 if x 3. Find lim f(x). 3+

A: In general the right limit of the function  at a point gives the value of the the function as the…

Q: If is a polynomial, show that  lim x->ap(x)= p(a).

A: Let us consider the nth degree polynomial  px=anxn+an-1xn-1+-----+a1x+a0where a0, a1, ......, an∈R…

Q: Let f(x) = -7 –- x². Find each of the following: f(5) – f(4) (A) 5 - 4 | f(4 + h) – f(4) (B) h f(4 +…

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Q: If 3x − 5 ≤ f(x) ≤ x² − 3x + 4 for x ≥ 0, find_lim f(x). x →3

A: given  3x-5≤f(x)≤x2-3x+4for x≥0

Q: If limx→.3[x³ + f(x)] = -29, use the Rules of Limits to evaluate limx→.3[36x^² + f(x)- 3x]. O a. 11…

A: limx→-3x3+fx=-29

Q: If 3x – 1 0, find lim f(x). X→3

A: Given query is to find the indicated limit.

Q: If 2x – 2 < f(x) < x² – 2x + 2 for x 2 0, find lim f(x). X-2

A: The objective is to find the limit.

Q: Given f(x) = 7x - 6; x < 6 x ≥ 6, 4x + 3 ; Find: lim x →6 f(x)

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Q: f(x) = √x, a = 1

A: Givenf(x)=x a=1To findlimh→0f(a+h)-f(a)h

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: If q(x) = 3x², 7ex find lim q(x). X→ +∞

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Q: Find Lim f(x) = 2√x

A: Given function: fx=2x

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: f(7+h) – f(7) lim h>0 h here f(x) = 7r +4. If the limit does not exist enter DNE.

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Q: If 3x – 2 s f(x) < x² - 3x + 7 for x 2 0, find lim f(x). X3

A: 3x-2≤f(x)≤x2-3x+7