Basic Analysis I — Real Analysis · Problem 3.4.2

Continuous Functions — Jiri Lebl

Mathematics — Real Analysis · uniform-continuity

Problem

Let f:(a,b)→Rf : (a, b) \to \mathbb{R} be a uniformly continuous function. Finish the proof of Proposition 3.4.6 by showing that the limit lim⁡x→bf(x)\lim_{x \to b} f(x) exists.

Related theory

Browse the problem library