2.) Give an example of a function that not continuous for each of the following a.) f(c) is not defined on the function b.) lim f(x) does not exist c.) lim f(x) # f(c) 3a.) Graph the function below. f(x) = 4-x 3b.) Determine the limit as x approaches 4 3c.) Is the graph continuous? If not what fails in the definition.

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A: GivenA graph

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Q: ++ -> -6-5 -4-3 -2-1 1 2 3 4 5 6 x -1

A: From the graph, we can conclude limx→4+f(x)=-1 limx→4-f(x)=-1

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A: Draw the graph as per condition

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A:

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A: We can find the answer as below

Q: (d) lim f(x X →+00

A:

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A: Suppose that f is a function such that, limx→∞fx-2x2=π.  To determine, limx→∞ fxx2+1, if possible.

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A: The given statements,: It's over degrees.: It's too hot.: I will bike today.The aim is to find the…

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A: