I'm trying to find the period of:
It seems that when is even then the has period=1 and when is odd then has period=2 .
How to show that analytically?
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As written, your function is not periodic. It's constant. Care to have another go?
My mistake. It should say:
Must you consider more than this?
If you can make conclusions about even values of n, there is not much left for odd values.
Sorry for the inconvenience. What I wanted do to was to arrive at the conclusion analytically rather than explanatory. How do I do that?
What's the definition of "Period"?
Something like: The minimum value of 'h' such that f(x+h) = f(x).
Definitions are always good places to start. They are not always the best places to start writing programs, but for proving results, they are gold.
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