Assignment:
Q1. A function f:reals->reals is said to be periodic on the reals if there exists a number p greater than zero such that f(x+p)=f(x) for all x in the reals. Prove that a continuous function on the reals is uniformly continuous on the reals.
Q2. Is there a way to do this with just epsilon and deltas and no need for compactness?
Provide complete and step by step solution for the question and show calculations and use formulas.