Complete the Table by Computing $f(x)$ At the Given Values of X, Accurate to Five Decimal

question 77

Short Answer

Complete the table by computing $f(x)$ at the given values of x, accurate to five decimal places. Use the results to guess at the indicated limit, if it exists, to three decimal places. $\lim _{x \rightarrow-1} \frac{x+1}{x^{2}-x-2}$
$\begin{array}{|l|l|l|l|l|l|l|} \hline \text {x} &-0.9 & -0.99 & -0.999 & -1.001 & -1.01 & -1.1 \\\hline \text {f(x)} &&\\\hline \end{array}$

---

Definitions:

Abdominal Organs

The organs within the abdominal cavity, including the stomach, liver, gallbladder, pancreas, intestines, and kidneys.

Diaphragm

A large, dome-shaped muscle located at the base of the lungs and chest that plays a crucial role in breathing.

Abdominal Cavity

A large body cavity in humans housing many vital organs including the stomach, liver, and intestines, bounded by the abdomen.

Axillary Region

The area under the joint where the arm connects to the shoulder, commonly known as the armpit.