The statement (B), statement (D), statement (F) are true if piecewise defined function f(x) that increases over the intervals (-∞, 3) and (3,∞).
What is piecewise function?
A piecewise function is one that has several curve parts in its graph.
It means that, based on the value of the input, it has countless definitions.
A piecewise function, in other words, performs differently depending on the input.
We have given a data for a piecewise function.
From the data:
[tex]\rm \lim_{n \to 3^+} f(x) = 5[/tex]
[tex]\rm \lim_{n \to 3^-} f(x) = 6[/tex]
[tex]\rm \lim_{n \to 2^+} f(x)[/tex] Does not exist because [tex]\rm \lim_{n \to 3^+} f(x)[/tex] and [tex]\rm \lim_{n \to 3^-} f(x)[/tex] are not equal.
Thus, the statement (B), statement (D), statement (F) are true if piecewise defined function f(x) that increases over the intervals (-∞, 3) and (3,∞).
Learn more about the piecewise function here:
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