The value of \( \lim _{x \rightarrow 1}\{1-x+[x-1]+[1-x]\} \) (where \( [\cdot] \) denotes the g...

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The value of \( \lim _{x \rightarrow 1}\{1-x+[x-1]+[1-x]\} \) (where \( [\cdot] \) denotes the greatest integral function) is
(a) \( -1 \)
(b) Doesn't exist
(c) 1
(d) None of these
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