Continuity of Dirichlet looking function

daolian89
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Homework Statement


Where is the function f(x) continuous?

f(x) =
x, if x is irrational

0, if x is rational




Homework Equations





The Attempt at a Solution

 
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The function gives 0 output (the Y axis) for all rational inputs and the input itself for irrational inputs. Then if I'm not wrong, the irrational points are points of discontinuity and the function is continuous everywhere else.
 

Thread 'Finding the nth roots of a complex number'

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