Use a table of values to estimate the value of $\lim _ { x \rightarrow 0 } \frac { 6 - 3 \sqrt { 4 + x } } { x }$ . Use a graphing device to confirm your answer graphically.

Question

Quizplus · Accepted Answer

The Answer is It appears that

\lim _ { x ightarrow 0 } \frac { 6 - 3 \sqrt { 4 + x } } { x } = - \frac { 3 } { 4 }

.

\begin{array} { | l | l | l | l | l | l | l | } \hline x & - 0.1 & - 0.01 & - 0.001 & 0.001 & 0.01 & 0.1 \\hline f ( x ) & - 0.75475 & - 0.75047 & - 0.75005 & - 0.74995 & - 0.74953 & - 0.74537 \\hline\end{array}

$It appears that \lim _ { x ightarrow 0 } \frac { 6 - 3 \sqrt { 4 + x } } { x } = - \frac { 3 } { 4 } . \begin{array} { | l | l | l | l | l | l | l | } \hline x & - 0.1 & - 0.01 & - 0.001 & 0.001 & 0.01 & 0.1 \ \hline f ( x ) & - 0.75475 & - 0.75047 & - 0.75005 & - 0.74995 & - 0.74953 & - 0.74537 \ \hline \end{array}$

Use a Table of Values to Estimate the Value Of \lim