Question about periodicity?

**Fabio010** · November 11th 2011, 01:01 PM

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

So if the function is not periodic, $f(x+p) = f(x)$ , what it the value of p?

**Siron** · November 11th 2011, 01:16 PM

It's just a positive real number, for example the $f(x)=\sin(x)$ is periodic with periodicity $2\pi$ which is a positive real number.

**Fabio010** · November 11th 2011, 01:21 PM

But in that: case f(x)is periodic.

for a function not periodic , the period is a positive real number too?

**Plato** · November 11th 2011, 01:28 PM

Originally Posted by Fabio010

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

So if the function is not periodic, $f(x+p) = f(x)$ , what it the value of p?

If this always true $f(x+0)=f(x)~?$

**Fabio010** · November 11th 2011, 01:33 PM

So you are telling me that in not periodic functions P = 0?

**Plato** · November 11th 2011, 01:41 PM

If you know that $f(x)$ is not periodic but for all $x$ you have $f(x+P)=f(x)$ then $P=~?$

**Fabio010** · November 11th 2011, 02:01 PM

P = 0

so it is not periodic

Thread: Question about periodicity?