EDB — 15R

Exercises

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

   • There exists $g:[0,\infty )\to ℝ$ uniformly continuous and such that the limit $\underset{x\to \infty }{lim}(f(x)-g(x))$ exists and finite.

   • $f$ is uniformly continuous.

   Solution 1

   [15S]↺↻