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Question Number 175620 by infinityaction last updated on 04/Sep/22
the domain of  f(x)  =  (√(log_x {x}))  ;  {.} denote the fractional part is
$${the}\:{domain}\:{of}\:\:{f}\left({x}\right)\:\:=\:\:\sqrt{\mathrm{log}_{{x}} \left\{{x}\right\}}\:\:; \\ $$$$\left\{.\right\}\:{denote}\:{the}\:{fractional}\:{part}\:{is} \\ $$
Commented by mahdipoor last updated on 04/Sep/22
(0,+∞)−N=  (0,1)∪(1,2)∪(2,3)∪(3,4)∪...
$$\left(\mathrm{0},+\infty\right)−\mathrm{N}= \\ $$$$\left(\mathrm{0},\mathrm{1}\right)\cup\left(\mathrm{1},\mathrm{2}\right)\cup\left(\mathrm{2},\mathrm{3}\right)\cup\left(\mathrm{3},\mathrm{4}\right)\cup… \\ $$

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