Complete the table and use the result to estimate the limit. $\lim _ { x \rightarrow 0 } \frac { \cos ( 3 x ) - 1 } { 3 x }$
$\begin{array}{|c|c|c|c|c|c|c|}
\hline x & -0.1 & -0.01 & -0.001 & 0.001 & 0.01 & 0.1 \
\hline f(x) & & & & & & \
\hline
\end{array}$
A) $- 1$
B) $- 0.5$
C) 0
D) $0.5$
E) 1

Question

Quizplus · Accepted Answer

The limit $\lim _ { x \rightarrow 0 } \frac { \cos ( 3 x ) - 1 } { 3 x }$ is a standard limit that evaluates to 0 using L'Hôpital's Rule or the small-angle approximation for cosine.

Complete the Table and Use the Result to Estimate the Limit