Find the Limit $L$ For the Given Function $f$ , the Point $x _ { 0 }$

question 9

Multiple Choice

Find the limit $L$ for the given function $f$ , the point $x _ { 0 }$ , and the positive number $\varepsilon$ . Then find a number $\delta > 0$ such that, for all $x _ { t } 0 < \left| x - x _ { 0 } \right| < \delta \Rightarrow | f ( x ) - L | < \varepsilon$ .
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• A) 0.2
• B) 0.1
• C) 3.5
• D) -0.2

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Definitions:

Demand Curve

The demand curve is a graphical representation showing the relationship between the price of a good or service and the quantity demanded for a given period.

Economic Rent

Extra earnings above the minimum amount necessary for a resource to remain in its current use, often arising from scarcity or market control.

Natural Resources

Materials or substances such as minerals, forests, water, and fertile land that occur in nature and can be used for economic gain.

Market Prices

The current price at which a good or service can be bought or sold in an open market, determined by supply and demand dynamics.