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If f(x)=|x-1|-[x], \where\ [x] is the gr...

If `f(x)=|x-1|-[x], \where\ [x]` is the greatest integer less then or equal to `x` , then
(A)`f(1+0)=-1,f(1-0)=0`
(B) `f(1+0)=0=f(1-0)`
(C) `("lim")_(x to1)f(x)` exists
(D) `("lim")_(x to1)f(x) `does not exist

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