Lecturre 13 (Calculus)

A function f : D → ℝ is uniformly continuous provided that whenever (uₙ) and (vₙ) are sequences in D with lim (uₙ − vₙ) = 0, then:

1. A.lim f(uₙ) = 0
2. B.uₙ and vₙ converge
3. C.lim (f(uₙ) − f(vₙ)) = 0
4. D.f(uₙ) is bounded