Answer
$$0.6=\frac{3}{5}$$
Work Step by Step
Given $$f(y)=\frac{y^{2}-y-2}{y^{2}+y-6}$$
Since
\begin{array}{|c|c|c|c|}
\hline
y & f(y) & y & f(y) \\ \hline
2.001 & 0.600079984 & 1.998 & 0.599839936 \\ \hline
2.002 & 0.600159936 & 1.999 & 0.599919984 \\ \hline
2.0001 & 0.600008 & 1.9999 & 0.599992 \\ \hline
\end{array}
Then
$$\lim _{y \rightarrow 2} f(y)=0.6=\frac{3}{5}$$
