Find the Limit by Direct Substitution $\lim _ { x \rightarrow - 2 } \left( \frac { 11 x - 9 } { 3 x + 9 } \right)$

question 237

Multiple Choice

Find the limit by direct substitution. $\lim _ { x \rightarrow - 2 } \left( \frac { 11 x - 9 } { 3 x + 9 } \right)$

• A) \(\lim _ { x \rightarrow - 2 } \left( \frac { 11 x - 9 } { 3 x + 9 } \right) = \frac { 3 } { 31 }\)
• B) \(\lim _ { x \rightarrow - 2 } \left( \frac { 11 x - 9 } { 3 x + 9 } \right) = - \frac { 3 } { 31 }\)
• C) \(\lim _ { x \rightarrow - 2 } \left( \frac { 11 x - 9 } { 3 x + 9 } \right) = - \frac { 31 } { 3 }\)
• D) \(\lim _ { x \rightarrow - 2 } \left( \frac { 11 x - 9 } { 3 x + 9 } \right)\) = \(\infty\)
• E) \(\lim _ { x \rightarrow - 2 } \left( \frac { 11 x - 9 } { 3 x + 9 } \right) = \frac { 31 } { 3 }\)

---

Definitions:

Decreasing-Cost Industry

An industry where the average cost of production decreases as the industry's output increases, often due to economies of scale.

Long-Run Industry Supply Curve

A graphical representation that shows the relationship between the price of a good and the total output of the industry over time, assuming all inputs are variable.

LRAC Curve

the Long-Run Average Cost curve, showing the lowest average cost at which any output level can be produced when all inputs are variable.

Increasing-Cost Industry

An industry where the costs of production increase as the output expands, often due to factors like resource depletion and higher input prices.