Find $\lim _ { x \rightarrow 7 ^ { - } } \frac { x - 7 } { x ^ { 2 } - 49 }$

question 56

Multiple Choice

Find $\lim _ { x \rightarrow 7 ^ { - } } \frac { x - 7 } { x ^ { 2 } - 49 }$ .

• A) \(\frac { 7 } { 2 }\)
• B) \(\frac { 1 } { 14 }\)
• C) \(\frac { 1 } { 7 }\)
• D) \(\frac { 2 } { 7 }\)
• E)limit does not exist

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Definitions:

Resources Scarcity

The economic condition of limited natural resources available to meet the unlimited wants and needs of people.

Downward Slope

A graphical representation indicating a decrease or decline in a variable as another variable increases, often seen in demand curves.

Production Possibility Frontier

An illustration representing the highest potential outputs for multiple goods using specific resources.

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The increase in the production of goods and services over a period, indicating economic health.