Use a CAS to plot the function near the point x0 being approached. From your plot guess the value of the limit.
-$$\lim _ { x \rightarrow 0 } \frac { \sqrt { 81 + x } - \sqrt { 81 - x } } { x }$$
A) $\frac { 1 } { 9 }$
B) 9
C) $\frac { 1 } { 18 }$
D) 0

Question

Quizplus · Accepted Answer

Using a CAS to plot the function near 0, we see that the plot approaches a straight line with a slope of $\frac{1}{9}$. Therefore, the limit is $\frac{1}{9}$.

Use a CAS to Plot the Function near the Point lim⁡x→081+x−81−xx\lim _ { x \rightarrow 0 } \frac { \sqrt { 81 + x } - \sqrt { 81 - x } } { x }x→0lim​x81+x​−81−x​​

Use a CAS to Plot the Function near the Point $\lim _ { x \rightarrow 0 } \frac { \sqrt { 81 + x } - \sqrt { 81 - x } } { x }$