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If lim(x rarr0)sqrt(ln(cos(x^(2)+[|a-1|...

If `lim_(x rarr0)sqrt(ln(cos(x^(2)+[|a-1|])))=0` (where [.] is greatest integer function) then range of a contains
(A) `[1,2)`
(B) `(0,2)`
(C) `(0,1]`
(D) `[0,3)`

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