Let f : R gt; R be a continuous, Tperiodic function. Show that f is uniformly continuous on its domain. We recall that a function f : R gt; R is...

Let f : R → R be a continuous, T −periodic function.

Show that f is uniformly continuous on its domain.

We recall that a function f : R → R is T−periodic if for every x ∈ R,

f (x + T ) = f (x).

Let f : R —> R be a continuous, T—periodic function.Show that f is uniformly continuous on its domain.We recall that a function f : R —> R is T—periodic if for every :1: E R, f(iv+T) = flit)-