Continuity of abs(f)

1. Apr 30, 2008

sean/mac

Give an example of a function f which is discontinuous at 0 yet abs(f ) is continuous at 0

i have tried for an hour or so trying to think of one, even hints would be helpful

2. Apr 30, 2008

nicksauce

I can think of a very trivial example... sort of like a step function.