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Is there is any period of function f(x) = x ..if yes then what is it ? And if not why ???? ..plz tell me

Posted by Mintu Rawat 6 years, 9 months ago

CBSE > Class 12 > Mathematics

1 answers

Rasmi Rv 6 years, 9 months ago

A periodic function is a function that repeats its values in regular intervals or periods

For a periodic function {tex}f\left( x+p \right) =f\left( x \right) ,\quad p{/tex} is the period, so that for a periodic function its value always oscillates between a fixed range

Now consider the function {tex}f\left( x \right) =x{/tex}

We have for every unique value of x we always have a unique value of y, which means it cannot repeats itself after every fixed interval .

Hence {tex}f\left( x \right) =x{/tex} is not a periodic function.

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