The limit for the given piecewise function does not exist(DNE).
4th option is correct.
What is the limit of a function?
In mathematics, limits are the points at which a function approaches the output for the specified input values. Calculus and mathematical analysis depend heavily on limits, which are required to determine integrals, derivatives, and continuity. It is applied during the analysis process and always focuses on the function's behavior at a certain time.
Unique real numbers are limits in mathematics.
According to the question,
Left hand limit of the function= -5(3)+4 = -15+4 = -11
Right hand limit of the function= (3)(3)+2 = 11
As the left and right-hand limits are not equal. Thus, the limit of the function does not exist.
Learn more about limits here:
https://brainly.com/question/23935467
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