Suppose f:R->R is continuous and f(r)= for each rational number r. Determine f( ) and justify your conclusions.
I have no clue
so wait does that just mean it would be 2? And would we have to show it by showing that the limit of lim_r-> f(r)=2 which is equal to f( )..Or can we say that since it is continuous we know that lim as r-> of f(r)=f( )? which is why we know its 2? I hope its not getting confusing.