Q: Prove 1/n → 0 using the Archimedean property. Show ℕ is unbounded. Given ε > 0: need n > 1/ε. Archimedean: such n exists! Then 1/n < ε: 1/n → 0 ✓. ℕ unbounded: for any x, n > x exists - no ceiling! (Between any reals: a rational - density!)