Show that if f is continuous on [0,infinity) and uniformly continuous on [a,infinity) for some positive constant a, then f is uniformly continuous on [0,infinity)
Show that if f is continuous on [0,infinity) and uniformly continuous on [a,infinity) for some positive constant a, then f is uniformly continuous on [0,infinity)
Since is continuous on it is uniformly continuous, so there exists such that . Similarly, there exists for the interval .