luzbee luzbee
  • 05-07-2021
  • Mathematics
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Explain why the following function is not piecewise continuous ​

Explain why the following function is not piecewise continuous class=

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sqdancefan
sqdancefan sqdancefan
  • 05-07-2021

9514 1404 393

Answer:

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

Step-by-step 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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