Complete the table and use the result to estimate the limit. $\lim _ { x \rightarrow 3 } \frac { x - 3 } { x ^ { 2 } - 16 x + 39 }$
$\begin{array}{|c|c|c|c|c|c|c|}
\hline x & 2.9 & 2.99 & 2.999 & 3.001 & 3.01 & 3.1 \
\hline f(x) & & & & & & \
\hline
\end{array}$
A) $0.525000$
B) $0.275000$
C) $- 0.100000$
D) $0.400000$
E) $- 0.475000$

Question

Quizplus · Accepted Answer

The expression simplifies to $\frac{1}{x-13}$ as $x$ approaches 3, which evaluates to $-0.1$.

Complete the Table and Use the Result to Estimate the Limit