Is Non-Periodicity Impossible in Functions?

[Fabio010]

Ok as we know, if f(x+P) = f(x) then the function is periodic.

So if the function is not periodic, f(x+p) = f(x) is a impossible equation right?

 

[berkeman]

Ok as we know, if f(x+P) = f(x) then the function is periodic.

So if the function is not periodic, f(x+p) = f(x) is a impossible equation right?

Nope. You forgot something in your first sentence about periodicity...

 

[HallsofIvy]

If f(x+ p)= f(x) for all x then f is periodic. If f is NOT periodic, then there exist some x f(x+ p) is not the same as f(x). But there still might be many x for which that is true.