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Consider the function f(x) =[(1-x,0 leq...

Consider the function `f(x) =[(1-x,0 leq x leq 1),(x+ 2, 1 lt x lt 2),(4-x,2 leqxleq4))`. Let `lim_(x->1) f(f(x))= l` and `lim_(x->1) f(f(x))=m` then which one of the following hold good ? (A) `l` exist but `m` does not (B) `m` exist but `l` does not (C) both exist (D) both does not exist

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