The graph below is the function f(x) -3 -2 - 2 4 -2 -4- -5+ Find lim x+ -1 f(z) Find lim a -1+ f(x) Find lim f(x) I -1 Find f( – 1)

Q: Find the limit if it exists. lim (10x+ 11) X-8 Select the correct choice below and, if necessary,…

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Q: -2- Graph of f The graph of the function Y = f(x) is shown above. What is the value of lim f(x)? -2…

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Q: x=-1 x=1 x%32 -2 EVALUATE lim f (x) x-1-

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Q: The graph below is the function f(x) 4 -5 4 -3 -2 -3 t-5+ Find lim f(x) Find lim f(x) Find lim f(x)…

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Q: Suppose lim

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Q: The graph below is the function f(x) 5- Q3 2 -5 -4 -3 -2 -1 1 2 4 5 2 -4 -5+ Find lim x → -1- f(x) =…

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Q: Find the one-sided limits of f (x). S-5x + 7 - 8x3 – 6 if x > 3 if x < 3 f(x) = Step 1 of 2: Find…

A: Given , =?

Q: The graph below is the function f(x) 01 -5 -4 -3-2 12 3 4 5 -2 -4 -5+ Find lim f(x) x → –1- Find lim…

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Q: The graph below is the function f(x) -5 -4 -3 -2 -4 Find lim f(x) Find lim f(x) Find lim f(x) Find…

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Q: 3-x x F(x) = (₂ + 1 (a) Find lim f(x) and lim f(x)? x-2+ x-2- (b) Does lim f(x) exist? why? x-2 x 3

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Q: The graph below is the function f(x) 4 -5 -4 -3 -2 2 4 5 -2 -3 -4 |-5+ Find lim f(x) x →2- Find lim…

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Q: Question * If lim x-1 f(x)-f(1)-3, then lim A->0 x-1 ƒ(1+h)-f(1)_3. h

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Q: Suppose lim

A: Given:

Q: f'(x) = (x-1)(x-2)(x-3)(x-4)   What can be said about lim(x->infinity) if anything

A: Answer and explanation is given below

Q: x2, x# - 2 a. Graph f(x) = 0, x= - 2. b. Find lim f(x) and lim f(x). X--2 x--2* c. Does lim f(x)…

A: Given function is, f(x)=x2, x≠-20, x=-2 b. limx→-2-f(x)=limh→0(-2-h)2 =4 and…

Q: The graph below is the function f(x) 3 Q1 -5 -4 -3 -2 1 2 3 4 5 -2 -3 4 -5 Find lim f(x) = x→ -1-…

A: Left hand limit of f(x) at x=-1 is the value to which f(x) approaches as x approaches to -1 from…

Q: The limit represents f′(c) for a function f and a number c. Find f and c.

A: limx→6-x2+36x-6=limx→6-x2--36x-6 The derivative of fx at a point x=c is limx→cfx-fcx-c.

Q: The graph below is the function f(x) 02 -5 -4 -3 -2 -1 -2 5+ Find lim f(z) = %3D Find lim f(x) =…

A: We have to find the limit at the given value of x.

Q: x2 - 2x - 35 Let f(x) = Find a) lim f(x), b) lim f(x), and c) lim f(x). x-7 x-7 x-0 x--5

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Q: Theory and Examples

A: Consider the following: limx→4fx-5x-2=1 Simplify by applying the limits:…

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x2 - 64 lim…

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Q: The graph below is the function f(x) 5- -5 -4 -3 -2 -1 -1 1 2 3 4 5 -2 03 -4- -5+ Find lim f(x) = x…

A: From the graph, it is clear that when x tries to tend to -1 from left side, the f(x) tries to…

Q: ³f(x)-2g(x) is ... If lim f (x) = 2 and lim g(x)=-1, then lim- f (x)+ g(x) xa

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Q: The graph below is the function f(x) 3- 2 5 4 -3 -2 Find lim f(x) = I -1- Find lim f(r) Find lim…

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Q: -5 -4 -3 -2 03 -4- of Find lim f(x) = %3D r -1 Find lim f(x) = 2 -1+ Find lim x -1 f(r) = %3D Find…

A: Given query is to find indicated limits from the graph.

Q: x - 2x - 15 Let f(x) = Find a) lim f(x), b) lim f(x), and c) lim f(x). x+0 x-5 X5 X-3

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Q: The graph below is the function f(x) Find lim 5 Find lim 43 2 01 02+ ●3 z→-1- +1-+-z 1 2 3 Find…

A: Observe the graph and answer.

Q: 5 The graph of a function, g(x), is pictured to the right. Find lim x+3 2g(x)

A: to find limx→352gx where graph of g(x) is given in figure

Q: The limit represents f′(c) for a function f and a number c. Find f and c.

A: Given :            The limit                          limx→9 2x-6x-9 To calculate :…

Q: The graph below is the function f(x) Find lim 3 5 27 2- 1 IN 2→-1- P 03 -4- Find lim z+−1+ 1 2 3 4…

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Q: a. Graph f(x) = 9-x², x*-3 X = -3. 5, b. Find lim f(x) and X--3- c. Does lim f(x) exist? If so, what…

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Q: The graph below is the function f(x) -5 4 -3 -2 03 -4 Find lim f(x) = %3D x -1- Find lim f(x) = x…

A: limit of a function f(x) at any point x=a can only be exist if  limx→a f(x) = limx→a+ f(x) = limx→a-…

Q: 3 Let F(x) = (x + 4)6 a. Find lim F(x). X-4 b. Find the vertical asymptote of the graph of F(x). c.…

A: The given function is F(x)=3(x+4)6 b) We have to find the vertical asymptote of the graph of F(x)

Q: 3. lim c-11 f(x) = ? f(x) = -49 %3D 4. For example, if lim f(x) = 9 and limg(x) -10, then (a)lim…

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Q: The graph below is the function f(x) 4- 02 -5 4-3 -2 1 2 3 4 -2 3- -5+ Find lim f(æ) x -1- Find lim…

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Q: 6- Given the function below -(x+1) ²+7 X2

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Q: The graph below is the function f(x) 5- 4 -5 -4 -3 -2 -1 4 -2 -4 Find lim f(æ) x →2 Find lim x →2+…

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Q: The graph below is the function f(x) 3. 2- -5 4 2 2345 Find lim f(z) Z→ -1 lim I→ -1+ f(z) Find Find…

A: The graph of the function fx is given by

Q: Find lim f(x) and lim f(x) for the given function and value of c. X→c |x + 6| f(x) = (x + 11)- C= -…

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Q: The graph below is the function f(x) -5-4-3-2 Find lim 4 3 02 1 82 -2 -3- -4 -5 2-1- Find lim Find…

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Q: The graph below is the function f(x) 5- 3- -5 -4 -3 -2 I 2 3 4 5 -2 03 -4 Find lim f(x) x → -1- Find…

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Q: The graph below is the function f(x) 4- -5 -4 -3 -2 -7 2 -2/ 5+ Find lim f(x) x2- Find lim f(x) x2+…

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Q: x-2 -1 lim X-3 x+3 Find the limit

A: Given limit is limx→3   x-2 -1x-3we have to evaluate the limit The given limit is of the form of…

Q: The graph below is the function f(x) 4 Q2 54 -3 -2 하 4 -2 -3 -4 -5+ Find lim f(x) → x → -1- Find lim…

A: Given the function  f(x) we need to find the following limits by using graph . Therefore basis on…

Q: The graph below is the function f(x) 5+ 02 -5 -4 -3 -2 -1 -3- -4+ -5+ Find lim f(x) = x -1 Find lim…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 6. Let (a) = { - 1; x 3 Find: a) lim f(x) x-3- b) lim f(x) c) limf (x) x-3+ I-3

A: Solution: The objective is to find the values of the given limits

Q: x3 +2x2 x2-2x Let f (x) = , Find lim f(x)? x2-4 3x2 X--2

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Q: (бх - 3(х -4) Let f(x)=- and g(x)=2x-1, find the value of k if lim f(x) = lim g(x) (2x-8)

A: Given:

Q: The graph below is the function f(x) 4- -5 4-32 1 2 3 4 5 -3- -4 -5+ Find lim f(x) I -1 Find lim…

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Q: The graph below is the function f(x) 03 -5 -4 -3 -2 3 4 -2 -4 -5 Find lim f(x) = x→ -1 Find lim x→…

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Q: 1 - x², 8. a. Graph f(x) = 12, b. Find lim,→l+ f(x) and lim,→1- f(x). c. Does lim,1 fx) exist? If…

A: Given function

Q: The graph below is the function f(z) -54 -2 1 2 4 5 -4 -5 Find lim f(x) = エ→-1 Find lim f(x) %3D…

A: Graph of the function f(x) is given, we to find its limit value at x=-1

Q: The graph below is the function f(x) -5 -4 -3 -2 -1 -2 Find lim f(x) = I+ -1 Find lim f(x) = Find…

A: for the limit of a function to exist at a point the left hand limit should be equal to the right and…

Q: The graph below is the function f(x) Find lim f(x) z+-1- Find lim f(x) z+-1+ Find lim I+ -1 f(x)…

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Q: f(x) – 5 If lim = 1, find lim f(x). x-2 X-7 x-7 lim f(x) = || (Type an integer or a simplified…

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Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x2 - 36 lim…

A: The given limit is limx→-6x2-36x+6

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: