TraegerX726931 TraegerX726931
  • 25-10-2022
  • Mathematics
contestada

Translation:Explain the behavior of f(x)= ln (x-a) when x=a. Give values to x and a such that x-a=0

TranslationExplain the behavior of fx ln xa when xa Give values to x and a such that xa0 class=

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DoryanH220877 DoryanH220877
  • 25-10-2022

Solution

when x = a

we have ln(x-a) = ln(0)

ln(0) is undefined in the real number system. By using the extended real number system, we get that ln(0) equals negative infinity. Infinity does not exist in the set of real numbers.

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