If \( f(x)=|x-1|-[x]= \) the greatest integer less than or equal to...

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If \( f(x)=|x-1|-[x]= \) the greatest integer less than or equal to \( x \), then
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(a) \( f(1+0)=-1, f(1-0)=0 \)
(b) \( f(1+0)=0=-f(1-0) \)
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(c) \( \lim _{x \rightarrow 1} f(x) \) exists
(d) \( \lim _{x \rightarrow 1} f(x) \) does not exist
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