Complete the table and use the result to estimate the limit. $$\lim _ { x \rightarrow - 2 } \frac { \frac { 1 } { x - 10 } + \frac { 1 } { 12 } } { x + 2 }$$ $\begin{array}{llllll}
x&-2.1 & -2.01 & -2.001 & -1.999 & -1.99 & -1.9\
f(x)
\end{array}$
A)0.123056
B)0.103056
C)-0.136944
D)-0.006944
E)-0.116944

Question

Quizplus · Accepted Answer

As $ x $ approaches -2, the expression simplifies to $\frac{-\frac{1}{22} + \frac{1}{12}}{x+2}$. Evaluating this limit, we find it approaches -0.006944.

Complete the Table and Use the Result to Estimate the Limit