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Question Number 25780 by rita1608 last updated on 14/Dec/17

every periodic function is   differentiable.true or false justify

$${every}\:{periodic}\:{function}\:{is}\: \\ $$$${differentiable}.{true}\:{or}\:{false}\:{justify} \\ $$

Answered by sushmitak last updated on 14/Dec/17

f(x)={x}  (fraxtional part of x)  is periodic but not differtiable  for x∈Z

$${f}\left({x}\right)=\left\{{x}\right\}\:\:\left({fraxtional}\:{part}\:{of}\:{x}\right) \\ $$$${is}\:{periodic}\:{but}\:{not}\:{differtiable} \\ $$$${for}\:{x}\in\mathbb{Z} \\ $$

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