Ok as we know, if$\displaystyle f(x+P) = f(x)$ then the function is periodic. So if the function is not periodic,$\displaystyle f(x+p) = f(x)$, what it the value of p?
Follow Math Help Forum on Facebook and Google+
It's just a positive real number, for example the $\displaystyle f(x)=\sin(x)$ is periodic with periodicity $\displaystyle 2\pi$ which is a positive real number.
But in that: case f(x)is periodic. for a function not periodic , the period is a positive real number too?
Originally Posted by Fabio010 Ok as we know, if$\displaystyle f(x+P) = f(x)$ then the function is periodic. So if the function is not periodic,$\displaystyle f(x+p) = f(x)$, what it the value of p? If this always true $\displaystyle f(x+0)=f(x)~?$
So you are telling me that in not periodic functions P = 0?
If you know that $\displaystyle f(x)$ is not periodic but for all $\displaystyle x$ you have $\displaystyle f(x+P)=f(x)$ then $\displaystyle P=~?$
P = 0 so it is not periodic
View Tag Cloud