Use the Table of Values of F to Estimate the Limit

question 212

Multiple Choice

Use the table of values of f to estimate the limit.
- $\text { Let } f(x) =\frac{x^{2}+7 x+12}{x^{2}+5 x+4} \text {, find } \lim _{x \rightarrow 4} f(x)$
$\begin{array}{c|l|l|l|l|l|l}\mathrm{x} & -4.1 & -4.01 & -4.001 & -3.999 & -3.99 & -3.9 \\\hline \mathrm{f}(\mathrm{x}) & & & & & &\end{array}$

• A)
• \(\begin{array}{c|cccccc}
• \mathrm{x} & -4.1 & -4.01 & -4.001 & -3.999 & -3.99 & -3.9 \\
• \hline \mathrm{f}(\mathrm{x}) & 0.2548 & 0.2355 & 0.2336 & 0.2331 & 0.2311 & 0.2103
• \end{array} \text { limit }=0.2333\)
• B)
• \(\begin{array}{c|cccccc}
• \mathrm{x} & -4.1 & -4.01 & -4.001 & -3.999 & -3.99 & -3.9 \\
• \hline \mathrm{f}(\mathrm{x}) & 0.4548 & 0.4355 & 0.4336 & 0.4331 & 0.4311 & 0.4103
• \end{array} \text {; limit }=0.4333\)
• C)
• \(\begin{array}{c|cccccc}
• \mathrm{x} & -4.1 & -4.01 & -4.001 & -3.999 & -3.99 & -3.9 \\
• \hline \mathrm{f}(\mathrm{x}) & 0.3548 & 0.3355 & 0.3336 & 0.3331 & 0.3311 & 0.3103
• \end{array} \text {; limit }=0.3333\)
• D)
• \(\begin{array}{c|cccccc}
• \mathrm{x} & -4.1 & -4.01 & -4.001 & -3.999 & -3.99 & -3.9 \\
• \hline \mathrm{f}(\mathrm{x}) & 1.4082 & 1.4008 & 1.4001 & 1.3999 & 1.3992 & 1.3922
• \end{array} \text {; limit }=1.4\)

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