7. Let Evaluate each of the following, if it exists. a. lim f(x) x-1 b. C. lim f(x) f(x) = f(1) X, 3, 2-x², x - 3, x < 1 x = 1 1 2 d. e. f. lim ƒ(x) x-2 lim f(x) x->2* lim f(x) x-2

Q: 7ーズ 1. Find lim using a. Table of values f(x) b. Limit rules

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Q: Find lim f(x) if I-00 4x - 1 I 5.

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Use the graph of f in the figure tofind the following values or state that they do not exist.

A: Apologies. We only answer one question at a time. We will answer the first three subparts a, b and c…

Q: If 3x - 4 s f(x) sx2 - 3x + 5 for x 2 0, find lim f(x). x-3

A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

Q: 4: x>3 28. f(x)=-1; x= 3 -4; Evaluate a. lim f (x), b. lim f(x), and c. lim f (x). x<3

A: We can answer all the three subparts as below

Q: 1. For each of the following find: I. lim f(x) II. lim f(x) III. lim f(x)

A:

Q: 6. Is it true that the limit of a function lim f(c) = L is the same as evaluating a function f(c)?

A: the limit of a function lim f(c) = L is the same as evaluating a function f(c)

Q: Evaluate |x2-41 lim X-2 X- 0/0 O Does not exist

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Q: 2x+12 |x+6| If f(x)=- , determine whether lim f(x) exists. 44-6

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Q: If 3x < f(x) < x³ + 2 for 0 < x < 2, find lim f(x). x-1

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Q: d. lim x_1 x-1

A: Since there are multiple questions so according to guidelines we can solve only first one.

Q: f(x + h) – f(x) Evaluate lim h-0 for the given value of x and function f h f(x) = 5x2, x = -2 f(x)…

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Q: -5x + 7 if x 3. Find lim f(x). 3+

A: In general the right limit of the function  at a point gives the value of the the function as the…

Q: If lim fx) -6 х+1 х— 1 – 6 10 , evaluate lim f(x).

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Q: (-2x + 3 if x 1 Evaluate the lim f(x) where f(x) x→1

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Q: Use the graph of the function f shown below to respond to each prompt. The first prompt is worth 3…

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Q: If f(x) = 5x – 4, then f(x) – f(-3) = 5. x +3 lim I-3 Select one: O True O False

A: Answer is true.  Using L hopital rule.

Q: Determine the right- and left-sided limits of the following function: lim x-3- (x + 1) lim x-3+x - 3

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Q: a. Lim x2 + X - 2 X→1 2x2 - x – 1

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Q: If-x-2+5 ≤ g(x) ≤ |x − 2|+5 for 1 ≤ x ≤ 3, evaluate lim, 29(x). Provide your answer below: lim g(x)…

A: Given,  then we have to evaluate

Q: Find Lim as attached . f(x) = 3x − 2

A: Consider the provided function, fx=3x-2 Find the limit of the provided function, limx→0fx+x-fxx…

Q: For each of the following find: I. lim f(x) II. lim f(x) III. limf(x)

A: I.Given that fx=sinx when x&lt;π6Therefore,limx→a-fx=limx→π6-sinx=sinπ6=12Hence, limx→a-f(x)=12

Q: 2x-1: x>1 29. f(x)=-1: x=1 1-4x; x<1 Evaluate a. lim f (x). b. lim f (x), and c. lim f(x). 27, 7,

A: Given query is to find the indicated limit.

Q: Find the following (if they exist) for the function whose graph is given below:

A:

Q: Find. 1) a. lim f(x) and b. lim f(x). 3- 4-

A: Answer and explanation is given below..

Q: True or false: If lim f(x) = f(a), and x1 is closer to a than x2, then f(x1) is closer to f(a) x→a…

A: The given statements is: If limx→af(x)=f(a)  and x1 is closer to a than x2 then fx1 is closer to…

Q: neither lim f(x) nc

A: For the limit  fx and gx , take the condition . For function fx, fx=2 if x≥00 if x&lt;0 The limit…

Q: (x-2; x3 Evaluate a. lim f (x). b. lim f(x), and c. lim f (x).

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Q: B. Determine if lim f (x) = f (c)

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Q: Use a table of values to evaluate the limits of the given function

A: Let's find.

Q: a. lim f(x) X-4

A:

Q: Use the function and graph to answer the questions about existence, limits, and continuity. -x-3, -…

A: topic - limits and continuity