If \( \lim _{x \rightarrow 1}(2-x+a[x-1]+b[1+x]) \) exists, then \(...
If \( \lim _{x \rightarrow 1}(2-x+a[x-1]+b[1+x]) \) exists, then \( a \) and \( b \) can
\( \mathrm{P} \) take the values (where \( [\cdot] \) denotes the greatest integer function)
W
(1) \( a=1 / 3, b=1 \)
(2) \( a=1, b=-1 \)
(3) \( a=9, b=-9 \)
(4) \( a=2, b=2 / 3 \)
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