3. What does the Squeeze Theorem say about lim f(x) if the limits lim 1(x) = lim u(x) = 6 and f, u, and I are related as in Figure 8? The inequality f(x) < u(x) is not satisfied for all x. Does this affect the validity of your conclusion? x+7 x+7 y = u(x) 6+ y3 f(x) y= l(x) FIGURE 8

Q: 5. Sketch the graph of one function y = f(x) that satisfies all of the requir- ments below. lim f(x)…

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Q: Assume the given function in each part is continuous everywhere. Determine what graphical feature is…

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Q: n each part below, give an example of a function which satisfies the given criteria. Justify that…

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Q: Given the graph of the function f below, Which of the following must be true? 3 2.

A: Graph is given

Q: 3) If the lim f(x) = 2 and lim f(x) = -1 %3D x-3- x-3+ Then what is the lim f (x) = x→3 %3D a) Why?

A: To find the limit of the f(x) at x=3

Q: . The function f (x) is defined by the rule 2-36 if x + 6 f (x) x-6 25 if x = 6 (a) Calculate lim f…

A: Continuity criteria :  f ( x ) is continuous at x = a when following properties are satisfied :  1)…

Q: 3. Find the indicated limits. if x 2 f(x) -2+ 4x – x² a) lim f(x) x→2+ b) lim f(x) x→2- c) lim f…

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Q: 10. Use the definition of limit to show that a. lim (x² + 4x) = 12, Z-2

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Q: 1) The graph of a function f with domain (-5, 5) is given in the figure below. 4 3 5 -4 -3 3 4 -2 -3…

A: a) You can see that, the graph of the function f goes -2 units below the x-axis at x=-2. Thus,f-2=-2

Q: if x1 then lim,-1 f(x) is 3 if x 1 (b) 3 3. Let f(x) = (a) 1 (c) not exist (d) other

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Q: 5. Calculate lim f(x), where x+1+ f(x) = = its 12.05 (c)-2 (d) 2 (e) does not exist 5A 5B if x 1 x-1…

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Q: x²-4 lim x-2 (x-2)² 2–4

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Q: 40. Show that if both lim f(x) g(x) and lim g(x) cxist and f(x) g(x) 8(x) lim g(x) # 0, then lim…

A: Given that limx→c fx gx   and  limx→c gx both exist and limx→c gx≠0. This implies that limx→c fx gx…

Q: 5. Let a, b, and c be real numbers with a < c< b and let f : (a, b) → R be a monotone function. If c…

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Q: I would like to know the solution for # 6 please.

A: The graph of the function f(x) is given and we have to find the limx→1f(x) from the given graph.

Q: lim f(x) = 8 lim f(x) = -4 f(-6) = 5 I→-6- z-6+ lim f(x) = 2 lim f(x) = 8 f(5) = 4 z+5+ lim g(x) = 6…

A: Given  functions f(x) and g(x)

Q: Can you find the value of c so that lim B(t) t --&gt; 4 does exist. I hope this makes sense, I…

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Q: 3. What is the limit x+5 а. lim х-2 х-4 X-4 b. lim X+4 x3-64

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