# Chapter 2 - Limits - 2.2 Limits: A Numerical and Graphical Approach - Exercises - Page 54: 3

$$0.6=\frac{3}{5}$$

#### 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 $$\lim _{y \rightarrow 2} f(y)=0.6=\frac{3}{5}$$

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