Use the piecewise function to find the indicated limits or state that the limit does not exist. when x<2 f(x)= [x² +1 3x+1 when x ≥ 2 9. a. lim f(x) x-2 C. lim f(x) b. *→2+ lim f(x) x-2 12-x1

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: Use l'Hôpital's Rule to evaluate the limit. .3 8x +7 2, lim X- 1 X1 O A. 11 O B. 19 C. O C. - 16 D.…

A:

Q: Use the graph of f in the figure tofind the following values or state that they do not exist.

A: Apologies. We only answer one question at a time. We will answer the first three subparts a, b and c…

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

A:

Q: 4: x>3 28. f(x)=-1; x= 3 -4; Evaluate a. lim f (x), b. lim f(x), and c. lim f (x). x<3

A: We can answer all the three subparts as below

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: 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: -12 |–10 -8 -6 F4 4 10 12 2, 2.

A: The given graph of the function f(x) is

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

A:

Q: If-x-2+5 ≤ g(x) ≤ |x − 2|+5 for 1 ≤ x ≤ 3, evaluate lim, 29(x). Provide your answer below: lim g(x)…

A: Given,  then we have to evaluate

Q: t2-3t+5 lim -1+ 0 t

A: Given:        limt→0et−1t+t2−3t+5t2−1

Q: Let f(x) = 2x2 +1. Evaluate f(4 + h) - f(4) lim h-0 h

A: Given, The function f(x)=2x2+1.

Q: V1-x3 15. lim x-1- V1-x2

A: the given limit is: limx→1-1-x31-x2 we have to evaluate the given limit.

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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Q: Evaluate the limit: lim 3z4 – 8z = - %3D Z - 1

A:

Q: dx =7 %3D -3x イ+2e

A:

Q: 1 if x-1 4. lim x→- 1 5. x f(x) f(x)

A:

Q: x²+6x+9 4. lim X--3 x+3

A:

Q: For the function f whose graph is given, determine the following limits. a. lim f(x) x-4 d. lim f(x)…

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

A: Let's find.