A. Direction: Evaluate the limit. f(x) = {x – 2x + 2, x < 2 х- 3, х22 1. Evaluate the limit using table of values. 2. Evaluate the: a. lim f(x) x-2- b. lim f(x) x-2+ c. lim f(x) x-2 3. Compare the lim f(x) and the f(2) if x-2 f(x) = {x - 2x + 2, x < 2 х — 3, х22 B. What are the theorems on Limits of Functions?

Q: help with a breakdown for each step.

A: a)  1b) -1c)  does not existd)  does not exist Explanation:Thank you 😊

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

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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: lim,-10 f(x) a. b. lim, ,-2+ f(x) 2 c. lim,-s f(x) d. lim,46 f(x)

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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: Use a graph to explain the meaning

A: Given: limx→af(x)=∞For instance:Let us consider the function to be f(x)=1x2then  limx→0f(x)=∞

Q: 4. f(x) = x² – 1; c=-1

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Q: Q8. Find the indicated limit: 2x +16x – 28 a) Lim = 2x +8 4x +x- 30 b) Lim x--3 x+ 3

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Q: Match EACH integral with the most appropriate technique for integrating. [x³Inxdx 25-x² [s S= X - dx…

A: Note: As per our guidelines, we can solve first three subparts. Please repost remaining parts.

Q: Evaluate the limit: lim x-6 x² 2 13x + 42 x - 6

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Q: lim (2x² - 6x - 3). x-3

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Q: Use a graph to explain the meaning of

A: Given that, limx→a+fx=-∞

Q: a. Estimate the value of lim f(x).

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Q: 2. If lim(x) – 8 I-1 x-1 10, find lim f (x). Explain your answer. %3D

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Q: V1-x3 16. lim х+1+ V1-x2

A: limx→1+1-x31-x2

Q: What is the definition of lim f(x)?

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Q: Evaluate the limit.

A: Definition and methods help to find the required limit of the given function. A value is said to be…

Q: b) lim (1 +2x)³A * x=0

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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: What type of limacon is the graph of the polar equation given by r = √3+ cos 0? O Limacon with a…

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

A: Answer and explanation is given below..

Q: V1-x3 15. lim x-1- V1-x2

A: the given limit is: limx→1-1-x31-x2 we have to evaluate the given limit.

Q: Find the limits

A: To determine: limx→∞ x2+3+x

Q: Identify the functions f and g such that lim f(x) does not exist, lim g(x) does not exist, but lim…

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Q: Use the definition of limit of a function to findlim x3 −3x−2. x→2 x2 −3x+2

A: Limit x tending to 2 = 9.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Evaluate the limit: lim 3z4 – 8z = - %3D Z - 1

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