Find whether the function f(x) = sin(x^2) is periodic.
Ummm do I just draw a graph?
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