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

\begin{array}{c|l|l|l|l|l|l}\mathrm{x} & 3.9 & 3.99 & 3.999 & 4.001 & 4.01 & 4.1 \\\hline \mathrm{f}(\mathrm{x}) & & & & & &\end{array}

\begin{array}{r|llllll}\mathrm{x} & 3.9 & 3.99 & 3.999 & 4.001 & 4.01 & 4.1 \\\hline \mathrm{f}(\mathrm{x}) & 3.97484 & 3.99750 & 3.99975 & 4.00025 & 4.00250 & 4.02485\end{array} \text {; limit = 4.0 }

\begin{array}{c|llllll}\mathrm{x} & 3.9 & 3.99 & 3.999 & 4.001 & 4.01 & 4.1 \\\hline \mathrm{f}(\mathrm{x}) & 1.19245 & 1.19925 & 1.19993 & 1.20007 & 1.20075 & 1.20745\end{array} \text {; limit }=1.20

\begin{array}{c|llllll}\mathrm{x} & 3.9 & 3.99 & 3.999 & 4.001 & 4.01 & 4.1 \\\hline \mathrm{f}(\mathrm{x}) & 1.19245 & 1.19925 & 1.19993 & 1.20007 & 1.20075 & 1.20745\end{array} ; \text { limit }=\infty

\begin{array}{c|llllll}\mathrm{x} & 3.9 & 3.99 & 3.999 & 4.001 & 4.01 & 4.1 \\\hline \mathrm{f}(\mathrm{x}) & 5.07736 & 5.09775 & 5.09978 & 5.10022 & 5.10225 & 5.12236\end{array} \text {; limit }=5.10

Use the Table to Estimate the Rate of Change of Y

Multiple Choice