Is it true or false that for any two uniformly continuous functions f and g on a set D such that g(x)=/=0 on all of D the function f/g is uniformly continuous on D? If yes, prove, if not show a counterexample. What if D is compact?
Thanks!
Is it true or false that for any two uniformly continuous functions f and g on a set D such that g(x)=/=0 on all of D the function f/g is uniformly continuous on D? If yes, prove, if not show a counterexample. What if D is compact?
Thanks!