Use the information about the function below to determine a limit. \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline x & 3.9 & 3.99 & 3.999 & 3.9999 & 4.0001 & 4.001 & 4.01 & 4.1 \\ \hline f(x) & -9.030 & -9.0030 & -9.0003 & -9.00003 & -9.00003 & -9.0003 & -90030 & -9.030 \\ \hline \end{tabular} Select the answer choice below which reflects the correct information about $\lim_{x\to 4} f(x)$.
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Step 1: From the given information, as x approaches 4 from the left side, f(x) approaches -9. Show more…
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Complete the table and use the result to estimate the limit. Use a graphing utility to graph the function to confirm your result. $$\lim _{x \rightarrow 4} \frac{x-4}{x^{2}-3 x-4}$$ $$\begin{array}{|l|l|l|l|l|l|l|l|} \hline x & 3.9 & 3.99 & 3.999 & 4 & 4.001 & 4.01 & 4.1 \\ \hline f(x) & & & & ? & & & \\ \hline \end{array}$$
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Use the graph of f, shown on the right, to find the given limit. When necessary, state that the limit does not exist. lim f(x) x→4 Select the correct choice below and fill in any answer boxes in your choice. A. lim f(x) = x→4 (Type an integer or a simplified fraction.) B. The limit does not exist.
Andrew N.
Complete the table and use the result to estimate the limit. Use a graphing utility to graph the function to confirm your result. $$ \lim _{x \rightarrow 4} \frac{[x /(x+1)]-(4 / 5)}{x-4} $$$$ \begin{array}{|l|l|l|l|l|l|l|} \hline \boldsymbol{x} & 3.9 & 3.99 & 3.999 & 4.001 & 4.01 & 4.1 \\ \hline \boldsymbol{f}(\boldsymbol{x}) & & & & & & \\ \hline \end{array} $$
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