# How do you find a periodic function that has no period?

##### 1 Answer

Mar 17, 2016

The sets of periodic functions and non-periodic functions are non-intersecting.

#### Explanation:

If f(x+P) = f(x) for every x, f is periodic with period P. Conversely, if f(x) is periodic there exists P such that f(x+P) = f(x), for every x.