Use the function and graph to answer the questions about existence, limits, and continuity. -x-3, - 5sx< - 4 x+5, - 4

Q: Re Prove directly from definition that it f is a positive function so that lim +(x)=16, then…

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

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Q: Use the given graph to: + + + -4, -3 -2 4 3 0 1 2 3 4 X Find lim f(x). X→

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Q: 2)

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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 3x – 1 0, find lim f(x). X→3

A: Given query is to find the indicated limit.

Q: (x² + 7x – 5, x 3' ih(x) on the interval [2,4].

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: For the function f(x) = 2/x, calculate lim h->0 (f(1+h) - f(1)) / h

A: Given function:- fx=2x

Q: 1 Let f(x) = 1, 0sx<2 -x2 + 4x- 3, x22 . Compute lim f(x).

A: Topic -limits

Q: Prove positive function so that lim + (x)=16, then lim√(x)=4 directly from definition that it f is a…

A: Given that Let  f is a positive function so that  limx→-4f(x)=16  .

Q: Let f(x) = 2x2 +1. Evaluate f(4 + h) - f(4) lim h-0 h

A: Given, The function f(x)=2x2+1.

Q: If f(x) = Vx² + x – x, find lim f (x), where f(x) is defined at X → 0.

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Q: (8+h)³ – 512 lim h-0 h

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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: Justify your answer. f(x) Is there a function f such that lim, 1 f(x) = 0 and lim, 1 = -∞?

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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: If 2x – 2 0, find limf (x). x→1

A: We can use the sandwich theorem to solve this question.

Q: Evaluate the following limits of the function: Vx - 5 f(x) = 25 – x a. lim f(x) b. lim f(x) x-25…

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Q: Evaluate Lim マ-1 X-1 区 -1

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Q: 1 if x-1 4. lim x→- 1 5. x f(x) f(x)

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Q: Given the graph of f(x) at the left, determine the following: a. f(6) = b. lim f(x) = C. x-2 lim…

A: The answers are as follows: a.  f(6)=4. b.  limx→2​f(x) does not exist. c.  limx→6​f(x)=2. d.…

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

A: Let's find.

Q: Find the value of lim f(x), if x→3+ f(x) 6x + 2 x 3 2x + 6 12 8 18 36 11

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