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Explain why the following function is not piecewise continuous ​

Explain why the following function is not piecewise continuous ​-example-1

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Answer:

the function has no finite limit at the left end of the interval (5, ∞)

Explanation:

In order for the function to be piecewise continuous, it must have finite limits at the endpoints of each of the subintervals. Here, the function goes to infinity as x → 5+, so has no finite limit there.

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