If \( f(x)=\frac{1}{1-x} \), then the set of points discontinuity o...

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If \( f(x)=\frac{1}{1-x} \), then the set of points discontinuity of the function \( f(f(f(x))) \) is
(a) \( \{1\} \)
(b) \( \{0,1\} \)
(c) \( \{-1,1\} \)
(d) none of these
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