Find the Limit $\lim _ { x \rightarrow 0.5 ^ { - } } \sqrt { \frac { x + 9 } { x + 2 } }$

question 160

Multiple Choice

Find the limit.
- $\lim _ { x \rightarrow 0.5 ^ { - } } \sqrt { \frac { x + 9 } { x + 2 } }$

• A) \(\sqrt { \frac { 19 } { 5 } }\)
• B) \(\frac { 17 } { 3 }\)
• C) \(\sqrt { \frac { 17 } { 3 } }\)
• D) Does not exist

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Definitions:

Maximizes Profits

The process or strategy by which a firm adjusts its production and pricing to achieve the highest possible profit margins.

Monopolistic Competition

A sector characterized by a vast number of entities offering goods that resemble each other but are not exact duplicates, allowing for limited market authority.

Excess Capacity

This term refers to a situation where a firm produces at a lower scale than its potential, indicating that there are unused resources or the firm is operating below its efficient scale.

Profit-Maximizing Level

The point of operation where a firm achieves its highest profit, determined by the intersection of marginal cost and marginal revenue.