- #1
kbrono
- 16
- 0
Homework Statement
Define f: [0,[tex]\infty[/tex]) [tex]\rightarrow[/tex] R by
f(x) = {0 if x is [0,1] and 1 if x is (1,[tex]\infty[/tex] )
Homework Equations
I think if I can show that f is continuous on [0,1] and not continuous on every point of [0,1] then that will suffice. However I have now clue how to go about this, the definition of set continuity confuses me.
The Attempt at a Solution
I thought is we make S=[0,1] we can set an epsilon or chose a delta that will hold for some points but not for all but again I keep losing myself.