The theorem is attached. Thank you.

Q: Define the  approaches negative infinity?

A: Negative infinity is the left-most extreme value.

Q: State the Intermediate Value Theorem. Use a graph to explain the concepts behind it (The concepts…

A: A Continuous function is a function whose graph is continuous meaning that it is a smooth curve…

Q: Show and Sim 218 Iim 276 2²+1 2²+3 2 2-6 2 20 -1

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Q: *2. Let x and y be distinct real numbers. Prove there is a neighborhood P of x and a neighborhood Q…

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Q: Find the following limits. State any theorems used while taking the limits.

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Q: Can calculus limits have a decimal form?

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Q: 1.) Evaluate each of the following limits. a.) lim (x2-3x + 1) x-2 x-1 b.) lim x-1x²-1

A: (a)  To compute     L = limx→-2x2-3x+1  Then we have L = -22-3-2+1

Q: Describe in Roster form. (Don't put any spaces on your answers. Enclosed your answers in {).) {x…

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Q: -2and2 are subsquena limits of the sequera {2 (-4)"}

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Q: -5 3 12 3

A:

Q: 12. State the equation of the oblique asymptote for y = a) y = x - 2 b) y = x + 2 c) y = x - 7 Which…

A: I have written all the answers within the solution. Please go through that.

Q: _6. lim x-2 \x-1 A. -2 В. 2 С. О D. DNE

A: Here, we need to find the given limit. So,          limx→ 2xx-1Plug in the value x=2=22-1=2

Q: V5-x-5+x lim post these 2 question on niman cheegg

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Q: Let S be a set of negative numbers. Prove the least upper bound of S cannot be positive.

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Q: Evaluate: /1/T 1–x*dx (A 4) ² +c B D E) None

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Q: Find the limits. In each part show your calculations and circle the answer.  a and b are attached

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Q: lim,-«G)* + x²+4 ()* limx--o %D 3x +1 a. -1 1 c. -3 Od. 3.

A: Given, limx→-∞53x+9x2+43x+1  We have to evaluate the limit.

Q: Find the limits in Exercis

A: limx->0tan(3x)x Lets plug in 0 for x  and check limx->0tan(3x)xtan(0)000 Lets apply L'Hopitals…

Q: 11. Use the Pythagorean Theorem to find x* 8 7.

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Q: Find the Limit 2 - V? 3b. lim 1-2 r + 2 - Va? + 4x + 4

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Q: This statement is False Lim x ⇒ 0 √x = 0 Please explain why it is using a mathematical argument

A: The given statement is limx→0x=0

Q: lim x--7+ dx [oo] f. dx [[ f(x)dx g. f(x)dx h. Average value of f on [-4,-1]

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Q: lim (1+ 00+u Select one: ○ True ○ False = ex n

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Q: We + 1 - Vx-1) lim

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Q: - 5. Evalaute lim VI - 3

A: Given,

Q: Also, could you please explain how the new limits are formed?

A: Step 1:Step 2:Step 3: Step 4:

Q: A researcher records the height in inches, without decimal places, of participants in a study. The…

A: Real limits are the class boundaries. It is obtained by calculating the class boundaries of a class…

Q: need help with this. I would apprecaite if you explain as well. Thank you

A: Here is the solution: I hope you have a great day! Keep on learning. Thank you, and God bless!

Q: Find the following limits

A: Points to be noted:(1) Limit of a function is a value that a function approaches (the output) for…

Q: (hi2-12th) h tth) hchtf2 H2th ) lim |

A:

Q: 2 - Find L z-2Z+4 -im. Z-1-31

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Q: 4x 4 lim, -1+( - x-1 In x 4 1 O 2 3.

A: Given : limx→1+4xx-1 -4lnx

Q: 4) lim Vx + 2 DNE x--2- 5) lim f(x) DNE, given that f(x) = {*+1 if x<2 (x-4)2+3 if x22 x-2

A: Topic:- limit Calculus