If for all real x and f(x) is periodic ,then what could be period of f(x)
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Originally Posted by pankaj If for all real x and f(x) is periodic ,then what could be period of f(x) Hint you know that cos is periodic function right it is periodic with period right see this so h(x) periodic with period ok periodic with period ?? right dose this make a sense . did you got it
Taking example is allright but we need to generalize . If we replace by then see what happens. I am going to bed.It is midnight here.
Originally Posted by pankaj If for all real x and f(x) is periodic ,then what could be period of f(x) find the subtraction of (2)-(1) so f(2x) is peroid with period 2 and f(x) is periodic with period 4 right
Originally Posted by Amer [tex] so f(2x) is peroid with period 2 and f(x) is periodic with period 4 right Actually if you replace by then we have
Originally Posted by pankaj Actually if you replace by then we have is there a different between the periods of f(x) and f(2x) ok lats do you said replace x with x/2 sub instead of x x+1/11 ?? ok sub instead of x 3x/2 instead of 3x 3x+1\11 ?? so the periodic dose not change for all values of x so we can say right
there is a well known proven result that if period of is ,then period of is given by where
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