Complete the Table and Numerically Estimate the Limit As $x$ Approaches Infinity For

question 39

Multiple Choice

Complete the table and numerically estimate the limit as $x$ approaches infinity for $f ( x ) = x - \sqrt { x ^ { 2 } + 4 }$ .
$\begin{array}{|c|c|c|c|c|c|c|c|}\hline x & 10^{0} & 10^{1} & 10^{2} & 10^{3} & 10^{4} & 10^{5} & 10^{6} \\\hline f(x) & & & & & & & \\\hline\end{array}$

• A) 0
• B) 4
• C) \(- 4\)
• D) \(\infty\)
• E) limit does not exist

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Definitions:

Regression Analysis

A statistical method for modeling the relationship between a dependent variable and one or more independent variables.

Linear Parameters

The coefficients in linear models that represent the relationship between the independent variables and the dependent variable.

Normal Distribution

A probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Observations Correlated

A situation where two or more variables or datasets show a tendency to vary together, indicating a potential relationship or association between them.