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every-periodic-function-is-differentiable-true-or-false-justify-




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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