anonymous
  • anonymous
is this piecewise function continuous at x=3?? f(x)=ln3x f(x)=xln3 please help thanks!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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dape
  • dape
Just check if the two pieces are equal at x=3.
anonymous
  • anonymous
that's all? thanks! :)
dape
  • dape
Yup :) if they are not equal, there is a jump from one value to another at x=3, so it's discontinuous.

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anonymous
  • anonymous
do the restrictions matter? for f(x)=ln3x 0
dape
  • dape
Yeah they could matter, I assumed that the pieces switched at x=3 since that was the question. If they would have switched at x=2 say, then it would have been continuous at x=3 since the function would have been in the middle of the \(x\ln3\) segment which is continuous.

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