Find whether the function f(x) = sin(x^2) is periodic.

Ummm do I just draw a graph?

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- Aug 17th 2009, 05:53 PMxwrathbringerxPeriods
Find whether the function f(x) = sin(x^2) is periodic.

Ummm do I just draw a graph? - Aug 18th 2009, 01:23 AMHaytham
or prove that

- Aug 18th 2009, 01:31 AMxwrathbringerx
Hmmmm interesting

Could you please show me how to do it for this question as an example? - Aug 18th 2009, 01:49 AMGrandad
Hello xwrathbringerxTo be periodic a function has to repeat at

*regular*intervals. Now we know that repeats every , and we get the first complete cycle between and . So the first cycle of will occur between and ; i.e. and .

The next cycle for is between and . So for it's between and .

So the question is: Is the difference between and the same as between and ? Work it out and see.

If it helps, here's the graph of the function between and about .

Grandad