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Evaluate the Function f(x)=7(x2x2)f(x)=7\left(\frac{\sqrt{x}-\sqrt{2}}{x-2}\right) At the Given Numbers (Correct to Six Decimal Places)

question 65

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Evaluate the function f(x)=7(x2x2)f(x)=7\left(\frac{\sqrt{x}-\sqrt{2}}{x-2}\right) at the given numbers (correct to six decimal places). Use the results to guess the value of the limit limx2f(x)\lim _{x \rightarrow 2} f(x) xf(x)1.61.81.91.991.9992.42.22.12.012.001 Limit \begin{array}{|c|c|}\hline x & f(x) \\\hline 1.6 & \\\hline 1.8 & \\\hline 1.9 & \\\hline 1.99 & \\\hline 1.999 & \\\hline 2.4 & \\\hline 2.2 & \\\hline 2.1 & \\\hline 2.01 & \\\hline 2.001 & \\\hline \text { Limit } & \\\hline\end{array}

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Definitions:

Marginal Product

The additional output produced by adding one more unit of a specific input, while holding other inputs constant.

Production Possibilities

Various combinations of the amounts of different goods that can be produced within a given economy, given technological constraints and available resources.

Isocost Line

A graph line representing all combinations of a firm's inputs that cost the same total amount.

Expenditures

The financial outflows or payments made by an individual, organization, or government unit, usually for goods or services.

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