- #1
kidsasd987
- 143
- 4
When we talk about differentiability on a
Set X, the set has to be open.
And if a set X is open there exists epsilon> 0 where epsilon is in R.
Then if x is in X, y=x+ or - epsilon and y is also in X
But this contradicts to what i was taught in high school; end points are excluded in the open interval.
Could anyone clarify this for me?
Also, since epsilon is arbitrary number, if set it to be infinite then would X be R?
(Entire Real number set)
Set X, the set has to be open.
And if a set X is open there exists epsilon> 0 where epsilon is in R.
Then if x is in X, y=x+ or - epsilon and y is also in X
But this contradicts to what i was taught in high school; end points are excluded in the open interval.
Could anyone clarify this for me?
Also, since epsilon is arbitrary number, if set it to be infinite then would X be R?
(Entire Real number set)