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# periodic function Watch

1. I have the function

and i'm asked whether the function is periodic or not.
how do i prove this without putting loads of numbers to try to satisfy ?
2. draw the graph
3. (Original post by apocalipse117)
I have the function

and i'm asked whether the function is periodic or not.
how do i prove this without putting loads of numbers to try to satisfy ?
To *prove* it (algebraically) would get very complicated, as you'd probably need to write sin(x^2) in terms of its infinite series expansion.
It would be much easier to just draw a graph.
(Which, you should find, clearly shows it is NOT periodic!)
4. (Original post by tomthecool)
To *prove* it (algebraically) would get very complicated, as you'd probably need to write sin(x^2) in terms of its infinite series expansion.
It would be much easier to just draw a graph.
(Which, you should find, clearly shows it is NOT periodic!)
It's certainly correct for p=0

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