Let f, g: a ⊆ ℝ → ℝ and c ∈ a₀. Assume that there is a > 0 such that f(x) = g(x) for all x ∈ a such that 0 < |x - c| < : Show that if lim(x → c) f(x) exists then lim(x → c) g(x) exists and