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Use the Table of Values of F to Estimate the Limit

Question 89

Multiple Choice

Use the table of values of f to estimate the limit.
-  Let f(x) =x2+8x2, find limx2f(x) \text { Let } f(x) =x^{2}+8 x-2, \text { find } \lim _{x \rightarrow 2} f(x)
x1.91.991.9992.0012.012.1f(x) \begin{array}{c|c|c|c|c|c|c}\mathrm{x} & 1.9 & 1.99 & 1.999 & 2.001 & 2.01 & 2.1 \\\hline \mathrm{f}(\mathrm{x}) & & & & & &\end{array}


A)
x1.91.991.9992.0012.012.1f(x) 16.81017.88017.98818.01218.12019.210; limit =18.0\begin{array}{c|ccrrrr}\mathrm{x} & 1.9 & 1.99 & 1.999 & 2.001 & 2.01 & 2.1 \\\hline \mathrm{f}(\mathrm{x}) & 16.810 & 17.880 & 17.988 & 18.012 & 18.120 & 19.210\end{array} ; \text { limit }=18.0

B)
x1.91.991.9992.0012.012.1f(x) 5.0435.3645.3965.4045.4365.763; limit =5.40\begin{array}{c|llllll}\mathrm{x} & 1.9 & 1.99 & 1.999 & 2.001 & 2.01 & 2.1 \\\hline \mathrm{f}(\mathrm{x}) & 5.043 & 5.364 & 5.396 & 5.404 & 5.436 & 5.763\end{array} \text {; limit }=5.40

C)
x1.91.991.9992.0012.012.1f(x) 5.0435.3645.3965.4045.4365.763 limit = \begin{array}{c|llllll}\mathrm{x} & 1.9 & 1.99 & 1.999 & 2.001 & 2.01 & 2.1 \\\hline f(x) & 5.043 & 5.364 & 5.396 & 5.404 & 5.436 & 5.763\end{array} \text { limit = }


D)
x1.91.991.9992.0012.012.1f(x) 16.69217.59217.68917.71017.80818.789; limit =17.70\begin{array}{c|ccrrrr}\mathrm{x} & 1.9 & 1.99 & 1.999 & 2.001 & 2.01 & 2.1 \\\hline \mathrm{f}(\mathrm{x}) & 16.692 & 17.592 & 17.689 & 17.710 & 17.808 & 18.789\end{array} ; \text { limit }=17.70

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