Complete the Table by Computing at the Given Values

question 66

Multiple Choice

Complete the table by computing at the given values of x. Use these results to estimate (if it exists) .

• A) x 4.9 4.99 4.999 5.001 5.01 5.1 f(x) 400 40,000 4,000,000 4,000,000 40,000 400
• B) x 4.9 4.99 4.999 5.001 5.01 5.1 f(x) 0.0025 0.000025 0 0 0.000025 0.0025
• C) x 4.9 4.99 4.999 5.001 5.01 5.1 f(x) 0.025 0.000025 0.000003 0.000003 0.0025 0.025
• D) x 4.9 4.99 4.999 5.001 5.01 5.1 f(x) 400 40,000 4,000,000 4,000,000 40,000 400 The limit does not exist.

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Definitions:

Economies of Scale

Refer to the cost advantages that enterprises obtain due to their scale of operation, typically resulting in the reduction of cost per unit.

Diseconomies of Scale

The phenomenon when a company or business grows so large that the costs per unit increase, leading to inefficiency.

Long-Run

A time period in economics where all inputs are variable, allowing firms to adjust all factors of production.

Average Cost Curve

A graph showing the cost per unit of output produced, calculated by dividing total costs by the quantity of output.