Limits Continuity And Differentiability

Let $$f(x)=\left\{\begin{array}{cl}\frac{1}{|x|}, & \text { for }|x|>1 \\ a x^2+b, & \text { for }|x| \leq 1\end{array}\right.$$. If \(\lim _\limits{x \rightarrow 1^{+}} f(x)\) and \(\lim _\limits{x \rightarrow 1^{-}} f(x)\) exist, then the possible values for \(a\) and \(b\) are