My other thread went unanswered for the most part, and I'd rather not explain this one if it's going to end up the same way. If I made it this far in math, it's obviously not because I don't do my own hw.
I've spent two days already working with these problems and the other two listed in...
1. An example of a discontinuous function on an interval [a,b] that does not assume every value between f(a) and f(b).
[edit] My answer to this: Piecewise function f(x)= 1/x, for x greater than and equal to -4 but less than zero (0). And f(x)=1/x for x greater than zero but less than and...
1.Does a sequence exist that has every point of R(real numbers) as an accumulation point?
2.Show that closed is essential in the Heine-Borel Theorem by finding an open cover of a non-closed bounded set that does not have a finite sub-cover.
I think that the set of rational numbers has...