13. [3/7 Points] DETAILS MY NOTES LARCALCET8 2.2.029. PREVIOUS ANSWERS ASK YOUR TEACHER Consider the following. \[ \lim _{x \rightarrow 6} \frac{\ln (x)-\ln (6)}{x-6} \] Create a table of values for the function. (Round your answers to four decimal places.) \begin{tabular}{|c|c|c|r|r|r|r|} \hline \( \boldsymbol{x} \) & \multicolumn{1}{|c|}{5.9} & 5.99 & 5.999 & 6.001 & 6.01 & \\ \hline \( \boldsymbol{f}(\boldsymbol{x}) \) & 0.1681 & \( \checkmark \) & & \( \times \) & & \( \times \) \\ \hline \end{tabular} Use the table to estimate the limit. Use a graphing utility to graph the function to confirm your result. (Round your answer to four decimal places.) \( \lim _{x \rightarrow 6} \frac{\ln (x)-\ln (6)}{x-6} \approx 0.1667 \) Need Help? Read It Watch it SUBMIT ANSWER 14. [3/4 Points] DETAILS MY NOTES LARCALCET8 2.2.033. PREVIOUS ANSWERS ASK YOUR TEACHER
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Step 1: Identify the function for which you need to find the limit: \[ f(x) = \frac{\ln(x) - \ln(6)}{x - 6} \] Show more…
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