Question about periodicity?

  • Thread starter Fabio010
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  • #1
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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?
 
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Answers and Replies

  • #2
berkeman
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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...
 
  • #3
HallsofIvy
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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.
 

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