Given continuous and Periodic function, How can I prove that it is Uniformly continuous?
Thank you!
Given continuous and Periodic function, How can I prove that it is Uniformly continuous?
Thank you!
Observe that it is uniformly continuous when restricted to a closed interval whose length is a period of your function (or twice that, to simplify things a little bit), and then use periodicity to extend to the whole of $\mathbb R$.
a proof by contradiction but you should do it yourself!