Consider the function \( f(x)=\left[\begin{array}{l}1-x, 0 \leq x \...

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Consider the function \( f(x)=\left[\begin{array}{l}1-x, 0 \leq x \leq 1 \\ x+2,1x2 \\ 4-x, 2 \leq x \leq 4\end{array}\right. \). Let \( \lim _{x \rightarrow 1} f(f(x))=\ell \) and \( \lim _{x \rightarrow 2} f(f(x))=m \) then which
\( \mathrm{P} \)
\( \mathrm{W} \) one of the following hold good?
(A) \( \ell \) exists but \( \mathrm{m} \) does not.
(B) m exists but \( \ell \) does not.
(C) Both \( \ell \) and m exist
(D) Neither \( \ell \) nor m exist.
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