stephensandrew6781 stephensandrew6781
  • 15-01-2020
  • Mathematics
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True or False?In Exercise,determine whether the statement is true or false given that f(x) = In x.if it is false,explain why or given an example that shows it is false.
f(0) = 0

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MechEngineer
MechEngineer MechEngineer
  • 15-01-2020

Answer:

False

Step-by-step explanation:

This is false. We can disprove this by plugging in the number into the function f(x) = lnx

f(0) = ln0

Since [tex]e^{- \infty} = 0[/tex], [tex]ln0 = -\infty[/tex]

This is not 0 so f(0) cannot be equal to 0, thus disproving the statement.

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