19. Use a calculator or other graphing utility to graph the x² – 2x+1 function g(x) = x-1 (a) Show that g(x) is not defined at x = 1. How is this reflected in your calculator graph? (b) Use the graph to argue that even though g(1) is undefined, we have lim g(x) = 0. X1

Q: 1. Let f(x) = 3² – 2x + 1. Compute lim (x)f – (4 + x)f 0+-4

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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=?

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A: Given: the graph of f(x) and g(x) meet at x=1

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.

A: Consider two functions fx & gx By algebra of limits, we have, 1. limx→a fx+limx→a gx=limx→a…

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Q: 1. Evaluate the limit for the graph lim f (x). x→1" f(x) 51 4- 3 2 1- -3 -2 -1 1 2 3 4 -1 а. 1 c.…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.

A: Let us consider limx→a-f(x)=A and limx→a+f(x)=B We have, A is not equal to B. When x gets close to…

Q: lim 극 et – 1 x-1

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A: The given function is:

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Q: 4 (a) Evaluate lim,1 (금-) (b) Let f(z) = -r. Find the value(s) of z if the second derivative f"(x)…

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Q: 4. Sketch the graph that satisfies the given conditions: fis odd, f' (x) 0 for x > 2; f"(x) > 0 for…

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Q: b. f(3) = 2 and lim f (x) does not exist.

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Q: 1) lim r-3 x² – 3x x3 - Vx+4–1 2) lim x→-3 x+3 3) In the below graph (figure 1.1.2), figure 1.1.2 -2…

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A: Let

Q: 9. There is an infinite discontinuity at x = 0 and f(0) = -2 10. There is a jump discontinuity at x…

A: Explanation of the answer is as follows

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A: Given  that: I=E1-e-a(S-h)E

Q: Q1/ Find the following 1. lim x2 + 1 = 2 x00 (x-2)2 2. lim x-2 (x-2)(x+2) 3. lim (5 -) x-0

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Q: 14. (a) Use a graph of 1(6) = (1- 2)" f(x) = to estimate the value of lim f (x) correct to two…

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A: Consider the given function: gx=5+4x Consider the given limit expression: limx→1+fx+3gx We can also…

Q: 6. Given the graph of g(x) below, evaluate lim (g(x)) x→4 -3- -2- 4 -1- DNE (does not exist) 4 -1…

A: Thats easy. Have a good day!!!

Q: Find the limit of lim((9+3x)1/2-3)/x as x approaches 0

A: To determine the value of the limit.

Q: Suppose a is a constant and if x>3 f(x) = { if 2 <x<3 %3D x+a if x < 2. () Find lim f(x). X2+ (ii)…

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Q: If 1/(x^2 + 1) ≤ f(x) ≤ 1 + x^2 for all x in the interval (−1, 1), what is lim x→0 f(x)?

A: Please refer the attached image for complete solution.

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A: Let's find.

Q: Determine lim g(x) for gas in Figure 11.                   x➔0.5

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Q: 4. Given that f(x)=4x - 3 f (1+h)- ƒ(1) Find lim ,x21

A: Given query is to find the value of indicated operation.

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Q: . Is it possible that f(2) = 5 but limx→2 f(x) = 7? If so, what kind of function can satisfy this?

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Q: lim (In 2x + 5) + 4 X→ー1

A: Solution:limx→-1ln2x+5+4=ln2-1+5+4

Q: 1 Let F (x) = 1 +2 2< Find lim F (x). 2+

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Q: Suppose that f(x) = 2cos (n/3 x) and the graph of g(x) is given by: y = g(x) 2 1 -5 -4 i ż 3 4 5 x…

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Q: 4.3 #31| Sketch the graph of a function that satisfies all of the given conditions: f'(x) > 0 if x #…

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Q: x - 2x What is wrong with applying L'Hôpital's Rule to lim x+0 3x – 2

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A: Given:  f(x)=11+e1/x

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Q: (2) Suppose that a function f(x) is defined for all real values x except x* x,, then lim f(x) does…

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A: See the attachment

Q: —ах+6 if x2-1 Let f(x)=< For what value of a does 2x2 +ах ifx<-1 lim f(x) exist? x--1

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Q: 1. Evaluate lim (2x-5) given its graph below. X-2 b. -1 c. 2 d. 1 а. О 2. Given the graph of f(x)…

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Q: - f(x) = -1; lim lim 16. Suppose x-3+ f(x) = -1; and f(-3) is not defined. x-3- Which, if any, of…

A: Given that limx→-3-f(x) =-1 and limx→-3+f(x) =-1. Which implies that limx→-3f(x) =-1. So, Statement…

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Q: 4. Sketch a graph with the following sets of properties. 10 8 f(5) = 3 f(-1) = -3 4 lim f(x) = 2 2…

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Q: 9. There is an infinite discontinuity at x = 0 and f(0) = -2 10. There is a jump discontinuity at x…

A: 9. There is an infinite discontinuity at x=0 and f(0)=-210. There is a jump discontinuity at x=1 and…

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A: The graph has the properties,limx→2+f(x)=3limx→2-f(x)=0f(2)=3limx→-1f(x)=-2f(-1)=1

Q: 2f(x) + 3x – х — 1 15 - Suppose that lim 5. Find lim f(x).|

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