Suppose \( f(x)=\left\{\begin{array}{ll}a x+b x, & x1 \\ 4, & x=1 \...

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Suppose \( f(x)=\left\{\begin{array}{ll}a x+b x, & x1 \\ 4, & x=1 \\ b-a x, & x1\end{array}\right. \)
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and if \( \operatorname{Lim}_{x \rightarrow 1} f(x)=f(1) \) what are possible values of \( a \) and \( b \) ?
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