3. Find 1. Lim f(x) 2. Lim f(x) 3. Lim f(x) 4. Lim f(x) n→∞0 n→ ∞ n→0+ n→0- x < 0 When f(x) = -& (-1, x ≥ 0 x < 0 4. When f(x) = = XI-R x ≥ 0

Q: lim F(x)- 1. x-1- lim F(x)- 2. x-1+ 3. lim F(x)_ x-1 4. F(-1)= lim F(x)- 5. x-1- 1.8 lim F(x)- 6.…

A: The graph given is- To find the limit at indicated points. Limit exists only when right hand limit…

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A: Given, Sign of f'x-f'x&lt;0 on an interval -∞,-2. f'x&gt;0 on an interval -2,0. f'x&lt;0 on an…

Q: 3. Sketch a graph of a function y = f(x) that satisfies all of the following (if possible): а. x-0-…

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Q: 30. (а) f(-2) (b) lim f(x) 4 3+ (c) f(0) 2- (d) lim f(x) (e) f(2) -2 1 1 2 3 4 5 (f) lim f() -2- (g)…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: lim2

A: Explained below

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A: Given graph of f(x)

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Q: 6. For the function h whose graph is given, state the value of each quantity, if it exists. If it…

A: a)  limx→-3-h(x)=its limits exists and value less than 4b)    limx→-3+h(x)=its limits exists and…

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A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

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: L True False y -2 then x 1 lim f(x) = 0 y = f(x) 3 X

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Q: If lim f(x) = 15 and lim g(x) = 25 then x5 x5 lim 3f(x)g(x) –- 6] = x5

A: Given that limx→5 fx =15  and limx→5 gx=25 find limx→5 3fxgx-6=?

Q: x + 3 2x+3 5. (a) Find f(a) for a = -2,-1,0, 1 if f(x) = x + 2 2 4-x for x 1 (b) Find lim f(x) and…

A: Given: For (a), f(-2)=2(-2)+3=-1f(-1)=DNEf(0)=0+2=2f(1)=2

Q: Which of the following statements is true? ху- 4y 1 A lim 2 (x.y) (4,0) x2-8x+y² + 16 V2x+y-3 lim…

A:

Q: 2. If f(x + y) = f(x) f(y) and if lim (h)-1 6, then f'(x) = = h

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

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A:

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A:

Q: 1.0 1.0 -1 ction f (x) : shown above. (x – 5)(x – 8)² does not exist, Þut is neither o ner -o.

A: Given function

Q: 53. Suppose lim,»c f(x) = 5 and lim,»c g(x) = -2. Find a. lim f(x)g(x) b. lim 2f(x)g(x) f(x) c. lim…

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Q: Given the graph of y = f(x), 1 -1 True False y -2 then x2 y = f(x) lim_ƒ (x) = 1 2 3 X

A:

Q: 2. lim_f(x) = x--5 -5.001 |-4.999 || -4.5 f(x) |-11.1 | –11.001 | –10.99 | –10.2 -5.5

A: From the table we see that: At x=-5.001, f(x)= -11.001 At x=-4.999, f(x)= -10.99

Q: lim f(x)=-5 f. f'(-3)=0 а. g. f'(-2) is undefined h. f(-1)=2 i. f'(-1)=0 j. f'(3)=0 b. f'(-5) is…

A: When there's no tangent line and thus no derivative at a sharp corner on a function

Q: (x² - 3, x<1 4, x =1 a. lim f(x) = 23. For f(x) = - 2x, 1<x<2 b. lim f(x) = (-x² +8, x22

A:

Q: x² + x - 2 24. f(x) %3D x + 2 lim f(x) (B) lim f(x) (C) lim f(x) (A) x -2"

A:

Q: 3. Sketch a graph of a function (x) for w ich all of the fo lowing are true: lim-2' f(x) = -4,…

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Q: 3 - – If lim f(x) = 3.5 and lim,-2+ f(x) = 6. 5 , the function has a double sided %3D x→2- limit or…

A: Given,          limx→2-fx=3.5 and limx→2+fx=6.5We know that,           Condition of double sided…

Q: x- 2 x→2 J4x +1-3 evaluate lim (No estimation, no l'Hopital's rule)

A: