PROOF 140
Prove.
The intermediate value theorem fails in the rationals
On the rational numbers ℚ.
Definition D1
f is continuous at a point p of a set I means that for every ε > 0 there is δ > 0 such that if x ∈ I and |x − p| < δ, then |f(x) − f(p)| < ε.
Proof.
Related labs