Use the table of values of f to estimate the limit.
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\text { Let } f(x)=\frac{x^{2}-4 x-5}{x^{2}-7 x+10} \text {, find } \lim _{x \rightarrow 5} f(x) \text {. }

\begin{array}{c|l|l|l|l|l|l}\mathrm{x} & 4.9 & 4.99 & 4.999 & 5.001 & 5.01 & 5.1 \\\hline \mathrm{f}(\mathrm{x}) & & & & & &\end{array}

\begin{array}{c|cccccc}\mathrm{x} & 4.9 & 4.99 & 4.999 & 5.001 & 5.01 & 5.1 \\\hline \mathrm{f}(\mathrm{x}) & 2.1345 & 2.1033 & 2.1003 & 2.0997 & 2.0967 & 2.0677\end{array} \text { limit }=2.1

\begin{array}{c|cccccc}\mathrm{x} & 4.9 & 4.99 & 4.999 & 5.001 & 5.01 & 5.1 \\\hline \mathrm{f}(\mathrm{x}) & 1.9345 & 1.9033 & 1.9003 & 1.8997 & 1.8967 & 1.8677\end{array} \text { limit = } 1.9

\begin{array}{c|cccccc}\mathrm{x} & 4.9 & 4.99 & 4.999 & 5.001 & 5.01 & 5.1 \\\hline \mathrm{f}(\mathrm{x}) & 2.0345 & 2.0033 & 2.0003 & 1.9997 & 1.9967 & 1.9677\end{array} \text { limit = 2 }

\begin{array}{c|cccccc}\mathrm{x} & 4.9 & 4.99 & 4.999 & 5.001 & 5.01 & 5.1 \\\hline \mathrm{f}(\mathrm{x}) & 0.5775 & 0.5720 & 0.5715 & 0.5714 & 0.5708 & 0.5652\end{array} \text { limit }=0.5714

Use the Table to Estimate the Rate of Change of Y

Multiple Choice