Hamilton Hall

08/29/2024 · Primary School

Let \( f(x)=\frac{10}{(x-6)^{2}} \). Estimate the limit \[ \lim _{x \rightarrow 6} f(x) \] by using the table approach: Left-sided:\( \begin{tabular}{|l|l|l|l|} \hline\( x \) & \( f(x) \) & \\ \hline 5.95 & 4000 & & (Round to nearest whole value.) \\ \hline 5.995 & 400000 & \( \sigma^{\circ} \) & (Round to nearest whole value.) \\ \hline 5.9995 & 40000000 & \( \sigma^{\infty} \) & (Round to nearest whole value.) \\ \hline 5.99995 & 4000000000 & \( \sigma^{\infty} \) & (Round to nearest whole value.) \\ \hline \end{tabular}\) Right-sided: Therefore \[ \lim _{x \rightarrow 6} f(x)= \] \( \square \)ANSWER ONLY LAST PART PLEASE