continuous function f=x-pi for x rtnl, 0 for x irrtnl: show

AlexHall

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Nov 5, 2008
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I have the function f(x) such that f(x)=x-? for x?Q and f(x)=0 for x?R/Q. How can I show that f is continuous at ? and discontinuous at all other points?

Thx
 
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