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: Evaluate the function for values of x that approach 1 from the left and from the right. f(x) - 1 lim…

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Q: Given the function f(x)=xel-2x²: a) Determine lim xe- and lim xe-2x² 24 X b) Determine all extrema…

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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  lim x→1  (f(x) − 8)/(x-1)=2     , evaluate  lim x→1 f(x).

A: Given: limx→1f(x)-8x-1=2

Q: If 3x – 1 0, find lim f(x). X→3

A: Given query is to find the indicated limit.

Q: (8+h)³ – 512 lim h-0 h

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Q: If f is a function such that f(2)=4,can you conclude anything about lim as x tends to 2 for the…

A: The objective of the question is to understand if we can conclude anything about the limit of a…

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: 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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Q: a) Sketch the graph of the function f (x) = {2x – 3 if æ 2 then evaluate lim f(x), lim f(x) at a =…

A: Consider the given: Hello. Since your question has multiple sub-parts, we will solve first three…