-1 Sketch the graph of f(x) = {-1+ VT- xi 2- x - 31 xく-1 -1 SxS1 1

Q: 20. lim_ v3 – x x→3-

A: We have to find the limit

Q: x+2 Q1I) If f(x) =* and h(x) = v2 –x, 3-x find (1) (f o h)(x) (2) Domain and Range for all f (x),…

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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: 1) Consider the graph of f(x) given below and compute the limits: 15- 10 5 -2 -5 -10 -15 a. Lim f(x)…

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Q: _15. What is lim f(x)? X-4 A. 0 В.1 С.2 D. Does Not Exist

A: Given: Following graph is given. To Find: 15. limx→4fx=?

Q: x-4 х-2 - X 0 1 2 X Which statements are true for the g(x) function? (Type T & F in the blanks.)…

A: 1) false

Q: 3-Vx+3 6. (10) Find lim analytically (if it exists). X→6 X-6

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Q: 4 (11) lim f(x) = X-0 (12) lim f(x): %3D |-10 -8 -6 -4 4 8 10 X +0 -2 -4

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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: As per the company guidelines we can solve first three subparts. I hope that the given solution will…

Q: 2. Create a graph of a function which satisfies all of the given conditions. D = {x € R|x # -2} lim…

A: Solution

Q: 5. Find lim f(x) f(x) 2 1 i -1 2 -2

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Q: 4. x- 1 lim x- Vx + 5-3

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Q: 2. Create a graph of a function which satisfies all of the given conditions. D = {x € R|x = -2} •…

A: Given: The function satisfies the conditions:             a) D=x∈ℝ|x≠-2, R=y∈ℝ             b)…

Q: b) The function g is defined by 4 x-2 x+2 Show that lim g(x)exist. x -2

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Q: (e) limVx ) lim -+(-1)") X-00 n→0 n n²-12345 x2 +9 (g) lim n +1 (h) lim x∞x3 +1

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Q: 1+t-V1-t lim

A: To evaluate: limt→01+t-1-tt   if we substitute t=0, we get 00 (indeterminate form)   Consider…

Q: the graph of an example of a functionf that satisfies all of the given conditions. 15.) lim f(x) =…

A: We have to solve given problems: We

Q: 5. lim f(x) = +0, lim f(x) = 0 and f(-1) = 0 6. lim f(x) = +00, lim f(x) = 0 and f(-1) = -1 %3D -1+…

A: Note: As per our company's guidelines we are supposed to answer three sub-parts of the question.…

Q: 9- 3x x ス-2 g (x)= ax + 3b 4x t b to Find A and B lim g(x) x->-2 lim 9 (x) メー>」

A: g(x)=a-3x,x<-2ax+3b,-2≤x≤14x+b,x>1

Q: b) The function g is defined by 4 x-2 x+2 Show that lim g(x) exist. X -2

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Q: x - 4 8. Prove that lim Vr = 2 using the e-6-definition. Hint: Vr - 2 = %3D VI + 2 4

A: The ∈-δ definition of a limit is: The limit of a function f(x) as x tends to "a"  is L, that is,…

Q: Consider the limits of f at infinity. lim f(x) = lim f(x) = 2 x-0 Select all possible graphs of f. 7…

A: You have to only analyse the graph for only two position at t->(infinity) and at…

Q: -2 0 1| 3 What is the 6 5 4 3 2 1 0 -1 -2 -6 lim f(x) for the following graph? X→-3 -5 -4 -3 -2 -1 0…

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Q: 2. Let x+1 r -1 Determine if lim f(x) exists. r-1

A: The objective is to determine if the limit exists or not.

Q: 1. Sketch the graph of a function f that satisfies all the following conditions. The domain is (-4,…

A: Given that the domain of the graph is (-4,∞) limx->-4+f(x)=3 when x approaches from the right of…

Q: 2- -2 (a) lim h(x) 4 (b) lim x--3* h(x) 4 (c) lim h(x) x--3 (d) -3 h(-3) (e) lim h(x) x-0 (f) lim…

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Q: b) The function g is defined by 4 x-2 x+2 Show that lim g(x) exist. x -2

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Q: 1. lim )Gt h->0 2. lim xZ X-1 X>( X-I

A: here is the solution

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: Suppose f(-5) = 0 g(-5) = 0 f'(-5) = 4 g'(- 5) = 2 %3D %3D and all functions are continuous. f(x)…

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Q: 10 a. lim 3-2 2x+1 b. lim Z x-3

A: Given 1.      lim x→3 10x-22.       lim x→2 2x-1x-3 To find - the value of the given limits

Q: -7 -3 Consider a function f whose graph appears above. What is the value of the limit lim f(x) ? x+…

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Q: x2 - 16 - if x>0 x + 4 2) Let f(x) = %3D x2 - 16 - if x<0 X- 4 Find lim f(x). x-0-

A: First I have written the definition of left hand limit , just use this definition for given function…

Q: 2.4.13 f(x) Suppose f(x)→- 150 and g(x)→0 with g(x) <0 as x-3. Determine lim X--3 9(x) 1(x) lim…

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Q: Question #1) Use the graph of the function to determine the indicated limit -12 -10 -8 -6 4 -2 10 12…

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Q: (r-2)(z²–3z+4) Use the graph of f(x) = (x-2)(z²–3z+4) (포-2) to evaluate lim- (포-2) O 2 3 does not…

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Q: x² +1 Evaluate the limit of limx ( - ax – b) = 0 - x+1

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Q: B. Evaluate the limit of a function using the co indeterminate forms. 6x2-7x-3 1. lim 2х-3 X- V2x-…

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Q: if the line x=0 is a vertical asymptote of y=f(x) then the function is not defined at x=0 true or…

A: Asymptote is a straight line that continually approaches a given curve but does not meet it at any…

Q: 1. Consider the graph of f(x) below. -4 -3 -2 -1 2 3 -1 a) lim f(x) x-1- b) lim f(x) x-1+ c) lim…

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Q: 1) lim 3 2) lim Vz+4–1 a+3 2-3 3) In the below graph igure 1.1.2), figure 1.1.2 1 f(x)

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

A: An infinite discontinuity is a type of discontinuity where one or both of the one sided limit go…

Q: 1. (a) Evaluate the limit or state that it does not exist: i. lim 32-1 37-1 ii. lim V1+r-VI-x (b)…

A: The limits are required to be solved. Each part is solved in detail below.

Q: x2 + 16. x< - 16 Let f(x) = Compute the following limits or state that they do not exist. Vx + 16,…

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Q: 23 - Vx - 47 Find lim x+ 24 X→-24

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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: (1) Consider the graph of function f(x): 14 6. -5 -4 -3 -2 Evaluate: (a) lim f(x) X4" (b) lim f(x)…

A: Since you have posted multiple questions, as per our policy we will answer first question (first…

Q: 3. Determine the limit graphically. Confirm algebraically. x - 1 lim x-1 - 1 1² - 3t+2 lim 1-2 1² 4…

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Q: (5) Sketch the graph of a function y = f (x) that satisfies all of the following conditions. lim…

A: The graph of function satisfying given condition is as below