Use the table of values of f to estimate the limit.
-Let $f ( x ) = \frac { \sin ( 3 x ) } { x }$, find $\lim _ { x \rightarrow - 0 } f ( x )$
$\begin{array}{l|c|c|c|c|c|c}
x & -0.1 & -0.01 & -0.001 & 0.001 & 0.01 & 0.1 \
\hline \mathrm{f}(\mathrm{x}) & & 2.99955002 & & & 2.99955002 &
\end{array}$

A) limit $= 0$
B) limit $= 2.5$
C) limit $= 3$
D) limit does not exist

Question

Use the table of values of f to estimate the limit.
-Let $f ( x ) = \frac { \sin ( 3 x ) } { x }$, find $\lim _ { x \rightarrow - 0 } f ( x )$
$\begin{array}{l|c|c|c|c|c|c}
x & -0.1 & -0.01 & -0.001 & 0.001 & 0.01 & 0.1 \
\hline \mathrm{f}(\mathrm{x}) & & 2.99955002 & & & 2.99955002 &
\end{array}$

A) limit $= 0$
B) limit $= 2.5$
C) limit $= 3$
D) limit does not exist

Quizplus · Accepted Answer

Looking at the table of values, we can see that as x approaches 0 from the left, f(x) approaches 3. Therefore, the limit as x approaches -0 is 3.

Use the Table of Values of F to Estimate the Limit