Determine the one-sided limits numerically or graphically. If infinite, state whether the one-sided limits are $\infty$ or $-\infty,$ and describe the corresponding vertical asymptote. In Exercise $46,[x]$ is the greatest integer function defined in Exercise $37.$
\begin{equation}\lim _{x \rightarrow 1 \pm} \frac{x^{5}+x-2}{x^{2}+x-2}\end{equation}