Use a Table of Values to Estimate the Value Of \lim

question 51

Essay

Use a table of values to estimate the value of $\lim _ { x \rightarrow \infty } ( \sqrt { x + 1 } - \sqrt { x - 1 } )$ . Then use a graphing device to confirm your result graphically.

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Definitions:

Consumer Surplus

The discrepancy between what consumers are prepared and capable of spending on a product or service versus what they end up paying.

Decreases Price

A reduction in the cost or value of a good or service.

Consumer Surplus

The variance between the overall sum consumers can and will pay for a good or service and what they genuinely spend on it.

Producer Surplus

The difference between the amount that producers are willing and able to sell a good for and the actual amount they receive (higher market price).