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. $\lim _{x \rightarrow-1} \frac{x+1}{x^{2}-x-2}$
$\begin{array}{|l|l|l|l|l|l|l|} \hline \text {x} &-0.9 & -0.99 & -0.999 & -1.001 & -1.01 & -1.1 \\\hline \text {f(x)} &&\\\hline \end{array}$

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Definitions:

Ontario

A province in eastern Canada known for its diverse population, natural landscapes, and as the location of Canada’s largest city, Toronto.

National Bank

A financial institution, chartered by a government, which holds exclusive powers such as issuing currency and regulating other banks, crucial for implementing national monetary policies.

War of 1812

A military conflict fought between the United States and Great Britain from 1812 to 1815, largely over issues of trade and maritime rights.

South and West

Regions often referenced in the context of geographical, cultural, or historical discussions within a specific country, notably the United States.