EDB — 15R

Exercises

1. [15R]Let \(f:[0,∞)→ℝ\) be a continuous function, show that these two clauses are equivalent.

   • There exists \(g:[0,∞)→ℝ\) uniformly continuous and such that the limit \(\lim _{x→∞} ( f(x)-g(x))\) exists and finite.

   • \(f\) is uniformly continuous.

   Solution 1

   [15S]↺↻