santaghimire376 santaghimire376
  • 08-06-2022
  • Mathematics
contestada

Is the function f(x) = 1 /x− 1 continuous at x = 1? Explain.
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sharmaakeqorane47 sharmaakeqorane47
  • 08-06-2022

Faarax Mohammed shirwa search

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jimrgrant1 jimrgrant1
  • 08-06-2022

Answer:

no

Step-by-step explanation:

f(x) = [tex]\frac{1}{x-1}[/tex]

at x = 1

f(1) = [tex]\frac{1}{1-1}[/tex] = [tex]\frac{1}{0}[/tex]

division by zero is undefined, thus there is a discontinuity at x = 1

so f(x) is not continuous at x = 1

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