Complete the Table and Use the Result to Estimate the Limit

question 30

Multiple Choice

Complete the table and use the result to estimate the limit. $\lim _ { x \rightarrow 1 } \frac { \sqrt { - 8 x + 10 } - \sqrt { 2 } } { x - 1 }$ $\begin{array}{lllllll}x & 0.9 & 0.99 & 0.999 & 1.001 & 1.01 & 1.1\\f(x) \end{array}$

• A)2.828427
• B)-2.703427
• C)-2.828427
• D)2.66176
• E)2.578427

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Definitions:

Electric Heating

A system of converting electric energy into heat for warming indoor spaces, typically regarded as more efficient than traditional heating methods.

Heating Substitutes

Alternative heating sources that can replace the primary heating method, including electric heaters, solar heating, and geothermal heat pumps.

Price-Discriminating

A pricing strategy where a seller charges different prices for the same product or service to different customers, based on various criteria.

Allocative Inefficiency

Allocative Inefficiency occurs when the allocation of resources does not correspond to consumer preferences, resulting in misallocation of resources and potential welfare losses.