Use the Table of Values of F to Estimate the Limit

question 212

Multiple Choice

Use the table of values of f to estimate the limit.
- $\text { Let } f(x) =\frac{x^{2}+7 x+12}{x^{2}+5 x+4} \text {, find } \lim _{x \rightarrow 4} f(x)$
$\begin{array}{c|l|l|l|l|l|l}\mathrm{x} & -4.1 & -4.01 & -4.001 & -3.999 & -3.99 & -3.9 \\\hline \mathrm{f}(\mathrm{x}) & & & & & &\end{array}$

• A)
• \(\begin{array}{c|cccccc}
• \mathrm{x} & -4.1 & -4.01 & -4.001 & -3.999 & -3.99 & -3.9 \\
• \hline \mathrm{f}(\mathrm{x}) & 0.2548 & 0.2355 & 0.2336 & 0.2331 & 0.2311 & 0.2103
• \end{array} \text { limit }=0.2333\)
• B)
• \(\begin{array}{c|cccccc}
• \mathrm{x} & -4.1 & -4.01 & -4.001 & -3.999 & -3.99 & -3.9 \\
• \hline \mathrm{f}(\mathrm{x}) & 0.4548 & 0.4355 & 0.4336 & 0.4331 & 0.4311 & 0.4103
• \end{array} \text {; limit }=0.4333\)
• C)
• \(\begin{array}{c|cccccc}
• \mathrm{x} & -4.1 & -4.01 & -4.001 & -3.999 & -3.99 & -3.9 \\
• \hline \mathrm{f}(\mathrm{x}) & 0.3548 & 0.3355 & 0.3336 & 0.3331 & 0.3311 & 0.3103
• \end{array} \text {; limit }=0.3333\)
• D)
• \(\begin{array}{c|cccccc}
• \mathrm{x} & -4.1 & -4.01 & -4.001 & -3.999 & -3.99 & -3.9 \\
• \hline \mathrm{f}(\mathrm{x}) & 1.4082 & 1.4008 & 1.4001 & 1.3999 & 1.3992 & 1.3922
• \end{array} \text {; limit }=1.4\)

Recognize the importance of environmental factors and community infrastructure in disease prevention.

Understand the historical development of public health initiatives and their impact on community health.

Analyze the role of government and non-governmental organizations in the advancement of public health.

Identify key figures and their contributions to public health and nursing.

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Definitions:

Federal Government

The national government of a federated state, which holds the authority to enact and enforce laws applicable to the entire country.

Educational Consequence

The positive or negative outcomes resulting from an individual's educational experiences or lack thereof.

Homelessness

The state of having no permanent residence, often resulting in living on the streets, in shelters, or in temporary accommodations.

Cognitive Delays

A slower development of mental processes compared to typical age-related expectations.