Use the Table of Values of F to Estimate the Limit

question 316

Multiple Choice

Use the table of values of f to estimate the limit.
- $\text { Let } f(x) =\frac{x-2}{x^{2}-6 x+8} \text {, find } \lim _{x \rightarrow 2} f(x)$
$\begin{array}{c|l|l|l|l|l|l}\mathrm{x} & 1.9 & 1.99 & 1.999 & 2.001 & 2.01 & 2.1 \\\hline \mathrm{f}(\mathrm{x}) & & & & & &\end{array}$

• A)
• \(\begin{array}{c|cccccc}
• \mathrm{x} & 1.9 & 1.99 & 1.999 & 2.001 & 2.01 & 2.1 \\
• \hline \mathrm{f}(\mathrm{x}) & -0.3762 & -0.3975 & -0.3998 & -0.4003 & -0.4025 & -0.4263
• \end{array} \text {; limit }=-0.4\)
• B)
• \(\begin{array}{c|cccccc}
• \mathrm{x} & 1.9 & 1.99 & 1.999 & 2.001 & 2.01 & 2.1 \\
• \hline \mathrm{f}(\mathrm{x}) & 0.4762 & 0.4975 & 0.4998 & 0.5003 & 0.5025 & 0.5263
• \end{array} \text {; limit }=0.5\)
• C)
• \(\begin{array}{c|cccccc}
• \mathrm{x} & 1.9 & 1.99 & 1.999 & 2.001 & 2.01 & 2.1 \\
• \hline \mathrm{f}(\mathrm{x}) & -0.4762 & -0.4975 & -0.4998 & -0.5003 & -0.5025 & -0.5263
• \end{array} \text { limit }=-0.5\)
• D)
• \(\begin{array}{c|cccccc}\mathrm{x} & 1.9 & 1.99 & 1.999 & 2.001 & 2.01 & 2.1 \\
• \hline \mathrm{f}(\mathrm{x}) & -0.5762 & -0.5975 & -0.5998 & -0.6003 & -0.6025 & -0.6263
• \end{array} ; \text { limit }=-0.6\)

Identify factors predicting psychosocial adjustment in old age.

Understand the potential virtues and crises defined in Erikson’s theory relevant to late adulthood.

Comprehend continuity theory and its application to successful aging.

Understand various theories of aging and their implications on societal roles and personal behavior.

---

Definitions:

Observations Interpretations

Observations interpretations involve analyzing and making sense of data or phenomena observed, forming conclusions or theories based on empirical evidence.

Experimental Conditions

The controlled variables and environment in which an experiment is conducted to test hypotheses and determine the effects on the dependent variable.

Critical Thinking

The process of objectively analyzing and evaluating an issue in order to form a judgment.

Illusory Correlation

The perception of a relationship between two variables when no such relationship exists.