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Use the Table of Values of F to Estimate the Limit

Question 166

Multiple Choice

Use the table of values of f to estimate the limit.
-  Let f(x) =x25, find limxθf(x) \text { Let } f(x) =x^{2}-5 \text {, find } \lim _{x \rightarrow \theta} f(x) \text {. }
x0.10.010.0010.0010.010.1f(x) \begin{array}{c|l|l|l|l|l|l}\mathrm{x} & -0.1 & -0.01 & -0.001 & 0.001 & 0.01 & 0.1 \\\hline \mathrm{f}(\mathrm{x}) & & & & & &\end{array}


A)
x0.10.010.0010.0010.010.1f(x) 1.49701.49991.50001.50001.49991.4970; limit =\begin{array}{c|lllccc}\mathrm{x} & -0.1 & -0.01 & -0.001 & 0.001 & 0.01 & 0.1 \\\hline \mathrm{f}(\mathrm{x}) & -1.4970 & -1.4999 & -1.5000 & -1.5000 & -1.4999 & -1.4970\end{array} \text {; limit }=\infty

B)
x0.10.010.0010.0010.010.1f(x) 4.99004.99995.00005.00004.99994.9900 limit =5.0\begin{array}{c|llllll}\mathrm{x} & -0.1 & -0.01 & -0.001 & 0.001 & 0.01 & 0.1 \\\hline \mathrm{f}(\mathrm{x}) & -4.9900 & -4.9999 & -5.0000 & -5.0000 & -4.9999 & -4.9900\end{array} \text { limit }=-5.0

C)
x0.10.010.0010.0010.010.1f(x) 1.49701.49991.50001.50001.49991.4970; limit =15.0\begin{array}{c|lllccc}\mathrm{x} & -0.1 & -0.01 & -0.001 & 0.001 & 0.01 & 0.1 \\\hline \mathrm{f}(\mathrm{x}) & -1.4970 & -1.4999 & -1.5000 & -1.5000 & -1.4999 & -1.4970\end{array} \text {; limit }=-15.0

D)
x0.10.010.0010.0010.010.1f(x) 2.99102.99993.00003.00002.99992.9910; limit =3.0\begin{array}{r|llllll}\mathrm{x} & -0.1 & -0.01 & -0.001 & 0.001 & 0.01 & 0.1 \\\hline \mathrm{f}(\mathrm{x}) & -2.9910 & -2.9999 & -3.0000 & -3.0000 & -2.9999 & -2.9910\end{array} \text {; limit }=-3.0

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