V. Given: (3 – x, x< 2 f(x) = - and c = 2 + 1,x> 2 a. Draw the graph of f(x). b. Determine the lim f(x) and lim f(x). c. Does the lim f(x) exist? If so, what is it? If not, explain.

Q: ate the following limits: a) lim(1 – 2x)/x b) lim -) X-0 X0*

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: For the function graphed here, show that

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A: Check value of f(x) at x=2

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A: Given:  a)  limx→∞  3·21-x+x2·21-xb) limx→0+ 1+5x2x   To find: We have to evaluate the given limits.…

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Q: Without a table of values and without graphing f(x), give the values of the following limits and…

A: Part (a) - Let the given limit be y - y = limx→-1 3x-5Putting limit x=-1, because we do not have any…

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Q: I. Determine the limit of the function, f(x) = 2x – 5, given the graph. 1. lim(2x – 5) = , X2 2.…

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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: 1. Using the graph of f(x), what is lim, -1/(x)? A. - 00 B. 0 C.-2 D. Does not exist E.

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Q: lim 2 x²-9 2 x² - 4x +3 where c = 0 and 1

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Q: Use the given graph to find lim f(x) limit. x- 2- O A. 2 O B. 00 O C. -0 14 O D. 0 2- -8 -4 i 4 8.…

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Q: What type of discontinuity is at x = 3, if lim f (x)= o and lim f(x)= oc = 00 x→3 00? x3*

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Q: Use the graphs and the laws of limits to evaluate: lim (f(x)+g(x)).

A: The graph of fx is as follows: The graph of gx is as follows:

Q: 3. 13 6. Use the graph above to find the value of : lim f(x) = %3D

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Q: Find the limits as x - 0o and as x - -00. y = f(x) = (3 – x)(1 + x)?(1 – x)4 lim f(x) = lim f(x) = X…

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Q: For the function graphed to the right, explain why lim f(x)#7. X→2 Choose the correct reason below.…

A: from the given graph                                        4≠7 implylimx→2+ f(x) = 4  ∵ limx→2+…

Q: Use technology to graph f(x) =! and find lim! O -00 O Does not exist

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Q: x 00-X 9 0 = lim Evaluate the limit as x approaches infinity of

A: Any finite number upon infinity is 0. any finite number∞=0

Q: Use the given information to evaluate the limits. 3. Given: lim f(x) 6 and lim g(x) = 3

A: Given that, limx→cfx=6            ...(1)Andlimx→cgx=3           ...(2) Evaluate  limx→cfx.gx

Q: 1. Using the table of values, estimate lim 3x x-2 а. 3 b. 6 с. 2 d. 5 2. Using the table of values,…

A: Given: L1=limx→23x, L2=limx→1x2+4x-3, L3=limx→2-x3+2x2-3, L4=limx→2+x3+2x2-3 We know that for any…

Q: Draw the graph of f(x) = E, and annotate the graph to indicate the meaning of I-2 lim - 2| T→2 x – 2…

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Q: Given the graph of the function below, what is lim f(x)?

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Q: Evaluate the following limits. If you use l'Hospital's Rule, be sure to indicate when you are using…

A: We have given; (a) By applying the algebraic property, we get; Now we apply the L' Hospital rule…

Q: Use the graph to evaluate the indicated limit and function value or state that it does not exist. 3)…

A: To find the values of function from the graph

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Q: Find lim f(x) given the graph of

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Q: 3e*+0 + x? lim →-3 x3 + 6x2 + 9x

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

Q: A graphing calculator is recommended. For the limit lim (x - 4x + 5) = 20 illustrate the definition…

A: Consider the limit: limx→3x3-4x+5=20  Find the largest possible values of δ corresponding to ε=0.2…

Q: What type of discontinuity is at x = 3, if lim f (x)= 0 and lim f (x)= 0? x-3 x>3* What type of…

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Q: (b) Given that lim f(x) == 2 and lim g(x)=4 , find the limit x2 1 lim 3f(x)- Vg(x) x→2 Using the…

A: Given thatlimx→2f(x) = 2  and limx→2 g(x) =4    and we have to find the value of the limit…

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

A: We have to draw a graph for given conditions.

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