Asked by Nayyab
find all discontinunities and remove if possible:
F(x)= 2x if x<_0
sin x if 0<x<_pi
x-pi if x>pi
i cannot find any discontinunities, i keep getting that the function is continuos.
F(x)= 2x if x<_0
sin x if 0<x<_pi
x-pi if x>pi
i cannot find any discontinunities, i keep getting that the function is continuos.
Answers
Answered by
MathMate
If you graph the function on a calculator, you will not <i>see</i> any discontinuity, because it <i>looks</i> continuous.
If you examine the domain that defines the function, you will discover two points which are discontinuous, and which <i>could</i> be removed by modifying the definition of the function.
Post if you need further help.
If you examine the domain that defines the function, you will discover two points which are discontinuous, and which <i>could</i> be removed by modifying the definition of the function.
Post if you need further help.
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