staciecarrillol staciecarrillol
  • 09-09-2020
  • Mathematics
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Explain why the function is discontinuous at the given number

Explain why the function is discontinuous at the given number class=

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sqdancefan
sqdancefan sqdancefan
  • 09-09-2020

Answer:

  left limit = 2 ≠ 1/2 = right limit

Step-by-step explanation:

A function is discontinuous if the limit of the function value approaching the point from the left is different than the limit approaching from the right.

Here, the left limit is 2 and the right limit is 1/2. The limits are different, which is why the function is discontinuous at x=-1.

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